Question 379220
{{{log(4, (16))}}}
Once you understand what a logarithm is, these problems become pretty easy. Logarithms are exponents. The specific logarithm, {{{log(4, (16))}}}, is the exponent for 4 that results in 16. So we ask ourselves, what power of 4 is 16? Or 4 to what power is 16? The answer: 2! So:
{{{log(4, (16)) = 2}}}<br>
{{{log(4, (1/16))}}}
What power of 4 is 1/16? If you understand negative exponents then you will understand that if {{{4^2 = 16}}} then {{{4^(-2) = 1/16}}}. So:
{{{log(4, (1/16)) = -2}}}<br>
{{{log(4, (1/256))}}}
I will leave this one up to you. Hint: {{{4^4 = 256}}}.