Question

Someone please teach me how to do this

6 to the 2x power = 21

Answer 1

using logarithms to find x because there is a property of logarithms that says that log(2^x) = xlog(2), so that is how we get x out of the exponent, but we have to take the log of both sides
log(6^2x) = log(21)
2xlog(6) = log(21)
divide by log 6 to get 2x by itself
2x = log(21)/log(6)
then divide that by two to get x

Answer 2

uhh ok

Answer 3

? Did what i say help at all?

Answer 4

yeah i have to use some change of base formula to get the answer or something

Answer 5

just use logs, its pretty quick to do