Question 178993
Assume you mean:
ln((4x + 9)^2) = 2
:
2*ln(4x + 9) = 2; log equiv of exponents
:
ln(4x+9) = {{{2/2}}}
:
ln(4x+9) = 1
:
on a calc find the e^x of both sides:
4x + 9 = 2.71828
;
4x = 2.71828 - 9
:
4x = -6.28172
x = {{{(-6.28172)/4}}}
x = -1.57
;
:
Check solution in a calc; enter ln((4(-1.57)+9)^2) = 2.00