Question

Find the value of $x$

${83}^{27.3}÷{83}^{1.4}\times {83}^{46.8}={83}^{31.9+x}$

• A. $64.1$
• B. $41.9$
• C. $40.8$
• D. $39.1$
• E. None of these

Answer 1

Answer: (C)

$40.8$

Consider L.H.S
${83}^{27.3}÷{83}^{1.4}\times {83}^{46.8}$
$=(83{)}^{27.3-1.4+46.8}=(83{)}^{72.7}$
$\Rightarrow 31.9+x=72.7$
$\Rightarrow x=72.7-31.9=40.8$.