Question

if 2 log 5 + 1/2 log 9 - log 3 = log x then find the value of x

Answer 1

log 5²+log√9-log3=logx
log(25*3÷3)=logx
x=25

Answer 2

Answer:

x=25

Step-by-step explanation:

The given equation is

$2\log 5+\frac{1}{2}\log 9-\log 3 =\log x$

We need to find the value of x.

Using power property of logarithm, the given equation can be rewritten as

$\log 5^2+\log 9^{\frac{1}{2}}-\log 3 =\log x$         $[\because \log_a x^n=n\log_a x]$

$\log 25+\log 3-\log 3 =\log x$

$\log 25 =\log x$

On comparing both sides we get

$x=25$

Therefore, the value of x is 25.