Help with logarithms! Can someone just show me how to do b) so I know if i'm doing it right? Screenshot is attached. Thanks!

Question

Help with logarithms!  Can someone just show me how to do b) so I know if i'm doing it right? Screenshot is attached. Thanks!

anonymous · Answer

attachment

solomonzelman · Answer

$$\log_AB=C~~~~~~~~->~~~~~~~A^{C}=B$$

solomonzelman · Answer

then take  Cth root of both sides after you apply the above rule.

anonymous · Answer

Can you show me one?
For $$\log_{a}10 $$

$$\log_{a}(5*2)=\log_{a}(5)+\log_{a}(2)=4+1.7=5.7   $$

Probably wrong

solomonzelman · Answer

what is log(base a) 10 equal to in the question ?

anonymous · Answer

1?

solomonzelman · Answer

I am not understanding what a this is and how are you getting these numbers. I can't help here.

anonymous · Answer

I don't think I'm understanding it at all. Can you please just show me how to do b? I'm totally lost

anonymous · Answer

How I came up with that answer is just from what she did for a) but I really don't know what I'm doing.

solomonzelman · Answer

$$\log_a100=\log_a(10^{10})=10~\log_a10=10~(\log_a5+\log_a2)...........$$

anonymous · Answer

That's the same as the example she worked out for a)? What about the three given log values?

solomonzelman · Answer

the very 1st 3? if so, use $$\log_AB=C~~~~~~-->~~~~~~A^C=B$$

anonymous · Answer

I'm still not understanding. Thanks for your help anyway!