Question

Solve.

Answer 1

\[5^{x - 3} . 3^{2x - 8} = 225 \]

Answer 2

I think this involves log, but I'm new to it so I would be very grateful if you explain.

Answer 3

yeah it does

Answer 4

log(a.b)=loga+logb

Answer 5

log a^x=xloga

Answer 6

Yes .... but how does that relate hear?

Answer 7

sorry here.

Answer 8

x-3 and 3x-8?

Answer 9

ok i got it
x=5

Answer 10

I'm still not sure how to proceed ...

Answer 11

just notice that
\[225=15^2=5^2 * 3^2\]

Answer 12

Yes.

Answer 13

then x-3=2x-8 and x=5

Answer 14

altough log would be ideal here but,
on slight inspection,
you should be easily able to see that:
225 = 5^2 . 3^2
using which you can compare LHS and RHS..

Answer 15

sorry didnt see @mukushla 's post ;