Question

Find x, if 2log3 + ½log4 – log2 = logx. ​

Answer 1

Step-by-step explanation:

2log3 + ½log4 – log2 = logx.

log3²+log4½-log2= logx

log3²+log2-log2= logx

log3²= logx

3²=x

9=x

#666

Answer 2

$\underline{\boxed{\bold{ \bigstar \; Question \; \bigstar }}}$  

↠ A car was purchased for Rs.500000. Its value depreciates at the rate of 20% per annum. What will be its value after 3 years?

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$\underline{\boxed{\bold{ \bigstar \; Important \; Information \; \bigstar }}}$  

❏ Logarithm is one of the most important topic in higher standards. It is used in every field of science.

❏ Here are some of the basic formulas.

$: \star : \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \boxed {\bold{\orange{log(ab ) = log(a) + log(b)}}}$

$: \star : \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \boxed {\bold{\orange{log(\frac{a}{b} ) = log(a) - log(b)}}}$

$: \star : \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \boxed {\bold{\orange{log(x^y ) = y[log(x)] }}}$

 

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$\underline{\boxed{\bold{ \bigstar \; Answer \; \bigstar }}}$  

Let's Start !

 

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❖ Here is your answer :)

$:\implies log(x) = 2log(3) + \frac{1}{2} [log (4)] - log(2)$

$:\implies log(x) = 2log(3) +[log (4^{\frac{1}{2}})] - log(2)$

$:\implies log(x) = 2log(3) +log(2) - log(2)$

$:\implies log(x) = 2log(3)$

$:\implies log(x) = log(3^2)$

$\boxed{:\implies x = 3^2 = 9}$

 

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$\boxed{\boxed{\bold{\therefore Value\;of\;x = 9}}}$

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Hope this helps u.../  

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