What is ${log}_{5} 125$ $log_5 125$ ?

Question

7352 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2014-10-25T03:10:06

${log}_{a} b = x \Rightarrow a^{x} = b$ $log_a b = x => a^x = b$

${log}_{5} 125 = x \Rightarrow 5^{x} = 125$ $log_5 125 = x => 5^x = 125$

$\Rightarrow 5^{x} = 5^{3}$ $=> 5^x = 5^3$
$\Rightarrow x = 3$ $=> x = 3$

$\Rightarrow {log}_{5} 125 = 3$ $=> log_5 125 = 3$

What is log5125log_5 125?