How do you evaluate log_49 343?

2 Answers
May 25, 2018

log_49 343 = 3/2

Explanation:

log_49 343
=log_7(343)/log_7(49)
=log_7(7^3)/log_7(7^2)
=(3log_7(7))/(2log_7(7))
=3/2

Alternatively, you could say 343 = 49 ^ (3/2)

The answer will follow immediately.

May 26, 2018

log_(49)343=3/2

Explanation:

x=log_(49)343

=>49^x=343

=>(7^2)^x=343

7^(2x)=343

but 7^3=343

:.2x=3

=>x=3/2

log_(49)343=3/2