How do you solve $13^{3 x} - 1 = 91$ $13^(3x)-1=91$ ?

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Answer 1 · 2018-08-08T06:02:42

The solution is $= 0.59$ $=0.59$

The equation is

$13^{3 x} - 1 = 91$ $13^(3x)-1=91$

$\Rightarrow$ $=>$ , $13^{3 x} = 91 + 1 = 92$ $13^(3x)=91+1=92$

Taking logs on both sides

$ln (13^{3 x}) = ln (92)$ $ln(13^(3x))=ln(92)$

$3 x ln (13) = ln (92)$ $3xln(13)=ln(92)$

$x = \frac{ln 92}{3 \cdot ln 13} = 0.59$ $x=(ln92)/(3*ln13)=0.59$

How do you solve 13^(3x)-1=91133x−1=9113^(3x)-1=91?