Question

solve 4^log X = 32- x^log4​

Answer 1

i hope this helps you solve the problem plz mark as brainliest

substitution is the best for these type of mcq sums

Answer 2

Option A - the solution is 100.

Step-by-step explanation:

Given : Expression $4^{\log x} = 32- x^{\log 4}$

To find : Solve the expression ?

Solution :

Expression $4^{\log x} = 32- x^{\log 4}$

Using logarithmic property, $x^{\log a}=a^{\log x}$

$4^{\log x} = 32- 4^{\log x}$

Take like terms together,

$4^{\log x}+4^{\log x}= 32$

$2(4^{\log x})= 32$

$4^{\log x}= 16$

$4^{\log x}=4^2$

Compare the bases,

$\log_{10} x=2$

Using logarithmic property, $\log_a x=y\Rightarrow a^y=x$

Here, a=10, x=x and y=2

$x=10^2$

$x=100$

Therefore, option A is correct.

#Learn more

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