Question

What is the exact value of x in the exponential equation 2^5x − 57 = 43?

Answer 1

The answer according to the test i just took is 2/5log2

Explanation:

Answer 2

Start by getting the term with the exponent on one side

`2^(5x)=100`

take the log of both sides

`log 2^(5x) =log100`

There is a log rule that says we can bring down the exponent

`5xlog2=log100`

Solve for x

`5x= (log100)/(log2)`
5x=6.64

answer: x=1.33