Question

9^2x=66

Answer 1

the variable x is an exponent. you need to bring it down. take the log of both sides (natural log "ln" or base-10 log, it doesnt matter):

ln (9^2x) = ln (66)

this makes:

2x * ln(9) = ln(66)

solve for x by dividing both sides by 2*ln(9)

x = ln(66) / [2*(ln(9)]

(if you need a numeric answer, x = 0.953397......)