Question

IF $2^x.3^{2x}=100$ ( Given log 2=0.3010 and log 3=0.4771), then value of X is

• A. 1,49
• B. 1.59
• C. 1.69
• D. 1.79

Answer 1

The correct option is B 1.59

$2^x{.3}^{2x}=100$

taking log both sides, we have

$xlog2+2xlog3=2$

putting the value of log2 and log3 , we have

$x.0.30+2x.0.47=2$

$x=\frac{2}{0.30+\mathrm{2.0.47}}$

$x=1.59$