Question 92175
Solve: 5^2x-3 = 6^3x
:
Assume you mean:
{{{5^((2x-3))}}} = {{{6^(3x)}}}
:
{{{ln(5^((2x-3)))}}} = {{{ln(6^(3x))}}}; nat log of both sides
:
{{{(2x-3)*ln(5)}}} = {{{(3x)*ln(6)}}}; log equiv of exponents
:
{{{1.609(2x-3)}}} = {{{(3x)*1.792}}}
:
3.219x - 4.828 = 5.375x
:
-4.827 = 5.375x - 3.219x
:
2.156x = -4.827
:
x = {{{-4.827/2.156}}}
:
x = -2.239