R. D. Sharma Solutions for Chapter: Exponents of Real Numbers, Exercise 1: EXERCISE

Solve the following equation for $x$ :

$2^{x+1}=4^{x-3}$

Solve the following equation for $x$

$2^{5x+3}=8^{x+3}$

Solve the following equation for $4x$

$4^{2x}=\frac{1}{32}$

Solve the following equation for $x$

$4^{x-1}\times (0.5{)}^{3-2x}={\left(\frac{1}{8}\right)}^x$

Solve the following equation for $x$

$2^{3x-7}=256$

Solve the following equation for $x$ :

$2^{2x}-2^{x+3}+2^4=0$

Solve the following equation for $x$ :

$3^{2x+4}+1=2·3^{x+2}$

Given $4725=3^a{5}^b{7}^c,$  find  the values of $2^{-a}{3}^b{7}^c$