rewrite as logarithmic equation
3^-3 = 1/27
would it be log -3 27 = 3?
Nevermind. I figured it out.
log (3^-3) = log 1 - log 27
log 1 is zero
log(a^b) = b log a
-3* log 3 = -log 27 = - log 3^3 because 27 = 3^3
so in the end
-3 log 3 = -3 log 3
To rewrite the given equation in logarithmic form, you need to identify the base of the exponent and the result of the exponentiation.
The given equation is 3^-3 = 1/27.
To express this equation in logarithmic form, you can write:
log(base 3) (1/27) = -3.
In this logarithmic equation, the base is 3, and the result of the exponentiation is 1/27.
Therefore, the correct logarithmic equation is log(base 3) (1/27) = -3.
As a note, be careful with the signs in the logarithmic equation. The negative sign next to the exponent (-3) does not transfer to the resulting logarithm.