Next time use parentheses appropriately, that is: (4/3)^(1 - x) = 5^x would have made your meaning clear.
Take the log of both sides. Whether you use natural logs or base 10 logs (or indeed any other base) doesn't matter. I use , just because it tickles my fancy to do so.
Use
to write
Use ordinary algebra to write:
Use
To write:
Use ordinary algebra to write:
Use your calculator to find the numeric approximation and to check your answer.
John
My calculator said it, I believe it, that settles it