Question 533071
{{{logb3(4sqrt(5))}}} Or {{{logb3(5^(1/4))}}}
:
{{{logb3(5^(1/4))}}} = x
Write exponent equiv of logs
{{{3^x}}} = {{{5^(1/4)}}}
using natural logs
{{{ln(3^x)}}} = {{{ln(5^(1/4))}}}
which is
{{{x*ln(3)}}} = {{{(1/4)*ln(5)}}}
find the ln
1.0986x = {{{1/4}}}*1.6094
1.0986x = .40236
x = {{{.40236/1.0986}}}
x = .36624
:
:
Confirm this with a calc
3^.36624 = 1.4953
5^(1/4) = 1.4953