Question

Can Somebody Help?
5(8e^2x - 3)^3=625

Answer 1

We'll divide by 5 both sides:

5(8e^2x - 3)^3 = 625

(8e^2x - 3)^3 = 125

We'll take cube root both sides:

8e^2x - 3 = 5

We'll add 3 both sides:

8e^2x = 8

We'll divide by 8:

e^2x = 1

We'll take natural logarithms both sides:

ln e^2x = ln 1

We'll apply the power property of logarithms:

2x ln e = ln 1

But ln e =1 and ln 1 = 0.

2x = 0

The solution of the equation is x = 0.

Answer 2

basically, this is 8e^2x-3=5, giving, e^2x=1, 2x=Ln(1)=0, x=0

Answer 3

(8e^2x - 3)^3=125( but125=5^3)
so cancelling cube
8e^2x - 3=5
8e^2x =8
e^2x =1
2x=log 1
x=0

Answer 4

do you understand it ?

Answer 5

so i think that is right

Answer 6

Yes I understand

Answer 7

ok