solve the equation for w
log32 2=w
To solve the equation log32 2 = w, we need to rewrite it in exponential form.
In exponential form, the equation would be: 2 = 3^w.
To solve for w, we can take the logarithm base 3 of both sides:
log3 2 = log3 3^w
Applying the logarithmic property log base a of a^b = b, the equation simplifies to:
log3 2 = w
Therefore, the solution is w = log3 2.