X=\log_{12}18 and Y=\log_{24}54. Find XY+5(X−Y)

Harold Kessler

Harold Kessler

Answered question


X=log1218 and Y=log2454. Find XY+5(XY)

Answer & Explanation

Andrew Reyes

Andrew Reyes

Beginner2022-01-02Added 24 answers

Let I=log18log12log54log24+5(log18log12log54log24) . Also, let log3=x and log2=y.
Daniel Cormack

Daniel Cormack

Beginner2022-01-03Added 34 answers

Note that XY+5(XY)=(X5)(Y+5)+25, so it suffices to find (X5)(Y+5).
Multiplying together gives 24log12(24)log24(12)=24log12(12)=24.
Adding 25 to this gives 1, which is your answer.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?