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

1 Answer
Johnson Z.
Feb 27, 2016

#x~~2.11#

Explanation:

#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)#

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