Finding an unknown from logarithmic form

Finding an unknown from logarithmic form

Secondary 3

Without using a calculator, find the value of \(x\) in each of the following.

\(\log_x125=\dfrac32\)
\(\log_{\frac13}x=-2\)
\(\log_4(2x+1)=\dfrac32\)

Solution:

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Answer:(a) \(x=25\) (b) \(x=9\) (c) \(x=\tfrac72\)

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