Logarithm question is being posted below

Question

anonymous · Answer

\[If 150^{x}=7   
then x is equal to?

anonymous · Answer

@Hero @saifoo.khan @.Sam. @dpaInc @jim_thompson5910 @lgbasallote @Limitless @UnkleRhaukus @AccessDenied  @apoorvk

hero · Answer

Hint: 

$$b^x = y \equiv \log_b(y)=x$$

anonymous · Answer

It would be better to say:
$$b^x=y \Rightarrow \log_{b}y=x$$
Your current equation can be easily confused.

anonymous · Answer

can't understand

anonymous · Answer

If you have $150^{x}=7$, you can take the inverse of both sides. This inverse is, in this case, $\log_{150}$.

Logarithms inverse exponentiation.

anonymous · Answer

answer is log7/(log3+log5)+1

apoorvk · Answer

@ajaykharabe you need to use the base change theorem over here:
$$\log_ab = \frac{\log_m b}{\log_m a}$$

and then separate the denominator using the funda:
$$\log_a(m\times n) = \log_am + \log_an$$

anonymous · Answer

thanks got it

anonymous · Answer

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