Question

Solve the following equation analytically.
log base4 (x^3)= log base4 (X)

Answer 1

Now let's think about this. The log is the exponent and this problem says that the logs are equal. Furthermore, I see that the bases are the same. So I am thinking if I have two expressions and they have the same base and the same exponent then they must be equal. Would you agree?

Answer 2

yes

Answer 3

but the exponents here are not equal

Answer 4

The equation says they are because it says: log = log

Answer 5

And the log is the exponent.

Answer 6

oh ok

Answer 7

but what should the answer be

Answer 8

Did you write the equation that says that the two expressions are equal?

Answer 9

Solve that equation.

Answer 10

x= -1, 0, 1

Answer 11

Very good.

Answer 12

Thanks Mertsj :)

Answer 13

yw