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

1 Answer
Apr 20, 2018

Answer:

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

Explanation:

#-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#