What is the solution of the equation 4^(x + 1) = 21? round your answer to the nearest ten-thousandth.

For this case we must solve the following equation:

We find Neperian logarithm on both sides:

According to the rules of Neperian logarithm we have:

We apply distributive property:

We subtract ln (4) on both sides:

We divide between ln (4) on both sides:

Rounding:

x = 1.1962

≈

Step-by-step explanation:

Given the equation you need to solve for the variable "x".

Remember that according to the logarithm properties:

Then, you can apply   on both sides of the equation:

Apply the Change of base formula:

Then you get:

≈

.632

step-by-step explanation:

6 * 1/10 = 3/5

3*0.01 = 0.03

3/5 + 0.03 = .63

2*0.002 = .002

.63 + 0.002 = .632