Convert 3" = 1509 to logarithmic form and use the change of base formula to solve for w. Round answer to 3 decimal places.
Hint: The change of base formula is log, a =
log a
log b

6.66

Step-by-step explanation:

First, you must convert the equation

In order to change exponents to logarithmic functions, you can follow the rule that is the same as

Personally, I like to think of it like a circular half arrow. The arrow starts on a, circles to c, and ends on b which means the order will be a, c, and b; then you simply put the order into the log function as log a(since it's first) c (second) = b(third)

Following the rule above, converting turns into .

Solve for w using change of base formula which states

Let x be 10, so you can input the equation into your calculator to solve.

log3(1509) = (log10(1509))/(log10(3)) = or   = 6.66222 = 6.66

answer: 45