Question

if logx9=2 find the value of x​

Answer 1

Answer:

by log formula logxn=m

Answer 2

Step-by-step explanation:

Given:

$log_{x}(9) = 2$

To find: Find the value of x

Solution:

Formula used:

$\bold{log_{c}(a) = \frac{ log_{b}(a) }{ log_{b}(c) }}$

Step 1: Apply formula above formula in L.H.S.

$\frac{log \: 9}{log \: x} = 2$

Step 2: Cross multiply

$2 \: log \: x = log \: 9$

Step 3: Apply formula as written below

$\bold{{log \: a}^{n} = n \: log \: a} \\ \\ log \: {x}^{2} = log \: 9$

Step 4: Remove log from both sides

${x}^{2} = 9$

Step 5:Find value of x,by taking square root both sides

$x = ± 3$

Final Answer:

$\bold{x = ±3}$

Hope it helps you.

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