Question

if log base 10 x =a, then 10power3a-2 =
options:-a)x/100 b) x2/100 c)x3/100 d) x3/1000​

Answer 1

$\bf\large\underline\blue{Question:-}$

• If $log_{10}(x) = a$ then, find the value of ${10}^{3a - 2}$

$\bf\large\underline\blue{Solution:-}$

$log_{10}(x ) = a$

$\implies {10}^{a} = x$

$\bf\underline\blue{Now,}$

${10}^{3a - 2}$

$= {10}^{a} \times {10}^{a} \times {10}^{a} \times {10}^{ - 2}$

$= (x\times x \times x )\div 100$

$= \frac{ {x}^{3} }{100}$

$\bf\large\underline\blue{Answer:-}$

• Answer is Option C, i.e., $\frac{ {x}^{3} }{100}$