Question

Logarithm Question (3)

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

Answer 1

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

Answer 2

= \(\log_{10} 9\)

Answer 3

@Miracrown @ganeshie8

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

Oh right. One sec then.

Answer 8

so x=1 does not appear to be a solution

Answer 9

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