Logarithm Question (3)

Solve $2x^{\cfrac{1}{2} \left[ \log_{\sqrt{x}} (\log_{10}3x^2) \right] }= \log_{10} 9 $

Question

Logarithm Question (3)

Solve $2x^{\cfrac{1}{2} \left[ \log_{\sqrt{x}} (\log_{10}3x^2) \right] }= \log_{10} 9  $

mathslover · Answer

Solve $\LARGE 2x^{\cfrac{1}{2} \left[ \log_{\sqrt{x}} (\log_{10}3x^2) \right] } $ .

mathslover · Answer

= $\log_{10} 9$

mathslover · Answer

@Miracrown @ganeshie8

miracrown · Answer

so we're trying to solve this equation for x, right? o.O

miracrown · Answer

we are going to need to use properties of logs
to try and simplify the left side

miracrown · Answer

I don't think x=1 solves this equation 
if you plug in x=1,
the left side equals to 2
but the right side is not 2

akashdeepdeb · Answer

Oh right. One sec then.

miracrown · Answer

so x=1 does not appear to be a solution

miracrown · Answer

divide by 2 on each side
then the right side turns into just log3

miracrown · Answer

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