Question

Find X. 3^x•5^x+1=45

Answer 1

Subtract 1, you get 3^x (5^x) = 44

Now take logs of both sides, you get
log[3^x (5^x)] = log 44,

using law of logs for left side, you get

log 3^x + log 5^x = log 44

Use another law of logs for left side, you get

x(log 3) + x(log 5) = log 44

Now, factor out x on left side, and then divide.