Advertisements
Advertisements
Question
Find the value of x for which 52x ÷ 5−3 = 55.
Advertisements
Solution
We have:
`5^(2x)div5^(-3)=5^5`
`5^(2x+3)=5^5` `->a^mdiva^n=a^(m-n)`
2x + 3 = 5
2x = 2
x = 1
Hence, x is 1.
APPEARS IN
RELATED QUESTIONS
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
Find the value of the following:
\[\left( \frac{1}{2} \right)^{- 1} + \left( \frac{1}{3} \right)^{- 1} + \left( \frac{1}{4} \right)^{- 1}\]
Express the following as a rational number in the form \[\frac{p}{q}:\]
Simplify:
\[\left\{ 5^{- 1} \div 6^{- 1} \right\}^3\]
Find x, if \[\left( \frac{1}{4} \right)^{- 4} \times \left( \frac{1}{4} \right)^{- 8} = \left( \frac{1}{4} \right)^{- 4x}\]
Find x, if
if \[x = \left( \frac{3}{2} \right)^2 \times \left( \frac{2}{3} \right)^{- 4}\], find the value of x−2.
\[\left( \frac{3}{4} \right)^5 \div \left( \frac{5}{3} \right)^5\] is equal to
Evaluate.
(5−1 × 2−1))× 6−1
