Algebra Problem!

Question

Solve for y: log₇ (50-4y) - log₇ (18-y) = log₇ 2

(A) (61/4) ± √129

(B) 10

(C) 7

(D) (66/5)

(E) None of the above

I got (C) 7. Would this be correct?

Answer 1

Yes! The correct answer is C. 7

First use log A - Log B = log (A/B)

Then if log_base(This)=log_{same base}(That) then This = That

Then multiply both sides of the resulting equation by the denominator, and you have a simple linear equation to solve!

Well done! LMK if you have any more questions :-)