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:

≈

irrational, cannot

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)