Exponential Equation: Unknown on both sides

How to solve an exponential equation by taking logs of both sides, using a Casio calculator to give us the answer and check it.

[Theo.]

This is the only video that actually has a question with unknown powers on both sides. I’ve been looking at a lot of YouTube videos and none of them have this question I was looking for (not even TL Maths). So thankyou for the help!

[enzuber]

Love the way you show how to quickly and reliably check the answer. Will be sharing with my students!

[sophia]

Thank you, this is the only thing I could find that actually explained how to solve an unknown exponent on both sides. I keep forgetting that you can factor and use distributive property with logs!

[lizfeay]

Hi, just wondering how you get the number 2 when factorising the inside brackets which has log 3 and log 5 in it? I cant work this out?? any help would be most appreciated!

[i_cant_think_of_a_good_nam]

how can i do it quickly using a calculator

[diliseekers]

I tried it with this question, I got an answer but on checking it, it didn't give me zero. This is the question.👇

2^x + 5^(x-1) = 8^(2x-1)