Answer
$x \approx 1.625$
Work Step by Step
First, add $5$ to both sides to get $$4\log(9x+17)=6$$ Next, divide both sides by $4$ to get $$\log(9x+17)=\frac{6}{4}=\frac{3}{2}$$ Since $10^a=10^b$ if $a=b$ and $10^{\log a}=a$, $$9x+17=10^{3/2}$$ Subtract $17$ from both sides to get $$9x=10^{3/2}-17$$ Divide both sides by $9$ to get $$x=\frac{10^{3/2}-17}{9}\approx1.625$$
