How do you solve $-4*3^(5x)-4=-30$ ?

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Answer 1 · 2018-04-20T08:00:12

$color(blue)(x=ln(13/2)/(5ln(3))~~0.3407575530)$

$-4*3^(5x)-4=-30$

Add 4 to both sides:

$-4*3^(5x)=-26$

Multiply by $-1$ :

$4*3^(5x)=26$

Divide by 4:

$3^(5x)=13/2$

Taking natural logarithms of both sides:

$5xln(3)=ln(13/2)$

Divide by $5ln(3)$ :

$x=ln(13/2)/(5ln(3))~~0.3407575530$

How do you solve -4*3^(5x)-4=-30-4*3^(5x)-4=-30?