Question

if 10 to the power x =64 value of x=?

Answer 1

$\text{We know that}\\\;\\m^x=n\implies x=\log_mn\\\;\\Similarly,\\\;\\10^x=64\implies x=\log_{10}64\\\;\\x=\log_{10}2^6\\\;\\x=6\log_{10}2\\\;\\x=6\times0.3010\\\;\\x=1.806\\\;\\\textbf{x = 1.806}\\\;\\Note:-\\\;\\1.\;\;\log m^n=n\log m\\\;\\2.\;\;\log_{10}2=0.3010$