Question content area top Part 1 Solve the exponential equation. Express irrational solutions in exact form. 5x=8

Answer 1

Hi Hailey.

I think you meant to enter 5^x = 8 because the narrative indicates that involves an exponential equation.

Since 8 is NOT a power of 5, we're going to get an irrational number.

In fact, the exact answer is x = log₅ 8.

I have been coaching SAT prep for 18 years and NEVER has there been any indication that they've ever even heard of logarithms.

This problem might be on the ACT. Is that where you found it?

On the other hand, if you could make one typo I suppose you might have made another.

Could the original question perhaps be, 2^x = 8?

See in this instance 8 is 2³, and therefore x would be 3.

I hope this provides some insight.

I can tell you this, exponential functions and problems involving the properties of exponents are crucial topics for the SAT. If you need to review these vital topics, I strongly suggest that you do.

Good luck