How do you solve $5^x=30$ ?

Question

16232 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-27T19:07:22

$x~~2.11$

$1$ . Log both sides of the equation.

$5^x=30$

$log(5^x)=log(30)$

$2$ . Recall the log rule: $log_b(m^color(red)(n))=color(red)(n)log_b(m)$ . Thus, on the left side of your equation, bring down the exponent, $x$ .

$xlog(5)=log(30)$

$3$ . Solve for $x$ using a calculator.

$x=log(30)/log(5)$

$color(green)(x~~2.11)$

How do you solve 5^x=305^x=30?