SOLUTION: I don't understand how to solve this problem. How can you solve an equation with logarithms if the bases are different? On the left side of the equation, the base is two, while on

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I don't understand how to solve this problem. How can you solve an equation with logarithms if the bases are different? On the left side of the equation, the base is two, while on       Log On


   

Question 356822: I don't understand how to solve this problem. How can you solve an equation with logarithms if the bases are different? On the left side of the equation, the base is two, while on the right side the base is five. By base I mean the "subset" or smaller number by log.
The equation is:
log%282%2C24%29-log%282%2C3%29=log%285%2CX%29
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
there are techniques for dealing with different bases , but there is a more straightforward solution here

using rules for logs ___ log2(24 / 3) = log5(X)

log2(8) = log5(X)

3 = log5(X)

5^3 = X