Question

What is the solution to the exponential equation 1/64 =2^x^+1

Answer 1

Given the exponential equation:

`(1)/(64)=2^(x+1)`

Let's find the solution to the equation.

Take the following steps.

Step 1:

Rewrite the equation

`2^(x+1)=(1)/(64)`

Step 2:

`2^(x+1)=(1)/(64^1)`

Step 3:

Apply the power rule to the right side of the equation

`2^(x+1)=64^(-1)`

Step 4:

We know that: 2^6 = 64

Rewrite 64 as 2^6: