To answer the exponential equation, we must first grasp it. The given equation describes an exponential function.

= abx

b is a positive real value and x is an exponent. Exponential equations contain variables as exponents.

To answer an exponential equation,

- Exponential equations same base

- Exponential equations with various bases

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- EXPONENTIAL EQUATION SOLVED WITH LOG

Exponentiation of an equation with the same bases

To solve the exponential equation with similar bases, follow these steps:

So if the bases are the same, the exponents must be. Follow the instructions below to learn how to solve the exponential equation.

Step 1: Determine if the number can be written in the same base. To solve Exponential equations using the same base, write the number in the same base. Not necessary if 1.

Step 2: Rewrite problems with the same base.

Step 3: Using exponent characteristics to simplify the problem.

Step 4: When the bases are the same, drop the bases and set the exponents equal.

Finish the puzzles by isolating the variable.

Step 6: Plugging the solution determined by into the original equations shows whether the answer is valid. After simplifying each statement, both sides should be equal.

Let us see how to solve the exponential equation.

42×1=64

The above step:

No similar bases here. So we must convert 64 in such a way that the base remains the same. Rewrite 64 as 43.

The equation is as follows:

42+1=43

The exponent should be equal to the bases, according to the equation. Using the equality of exponential function condition, the equation becomes:

3x-1

Thus, the equation says x = 1.

How to solve exponential equations in various bases?

How to solve exponential equations using different bases:

We are sometimes presented exponential equations with varying bases. These equations need knowledge of logarithms and exponentiation. Using logarithms and the power rule of logarithms, we can access variables within an exponent in exponential equations with different bases.

Step 1: Determine if the number can be written in the same base. To solve Exponential equations using the same base, write the number in the same base. Not necessary if 1.

Step 2: Take the common or natural logarithm of each side.

Step 3: Rewrite the problem using logarithm properties.

Step 4: Divide each side by logarithm.

Step 5: Use a calculator to find the logarithm’s decimal approximation.

Finish the puzzles by isolating the variable.

Step7: Find the logs in the equation using a scientific calculator. Enter the log number and press the LOG button.

Step 8: Finish the calculations to get the variables’ values. The answer will be approximate due to rounding when finding the logs.

How to solve exponential equations?

To solve exponential equations using whole numbers, follow these procedures.

Step 1: Isolate exponential equations. The equation must contain both exponential expressions and entire numbers. Aside from that, modify the equation so that the exponent is alone on one side.

Step 2: Convert the whole integer to an exponent of the same base as the other exponent. This method can’t be utilized if it can’t be converted to a

Then there are two Exponential expressions with the same base. Since the bases are the same, ignore the exponent.

Finish the puzzles by isolating the variable.

Step 5: Plugging the solution determined by into the original equations shows whether the answer is valid. After simplifying each statement, both sides should be equal.

How to solve logarithmic equations?

To solve exponential equations using logarithms, follow these steps:

Step 1: Keep all exponential expressions to one side.

Step 2: It needs a log on both sides. Log bases can be any.

Step 3: Solve variable using basic logarithm methods.

Conclusion

How to solve the exponential equation can be done in two ways. The first technique uses a particular exponential function and is easily solved. But the second one is a bit more difficult. The property rule, logarithm, replacement, and other formulas can be used to solve the exponential problem. Get the best math assignment solution from us and get top scores.