Sets, Relations & Functions
General
Grade 11
Question:
<p>Find the inverse of <span class="math-inline">\(y=5^{\log x}\)</span>.</p>
Step-by-Step Solution
Key Concept: General
<div class="solution"><p>log y=(log 5)(log x) → log x=log y/log 5 → x=10^{log y/log 5}=y^{1/log 5}.</p><div class="key-concept"><strong>Key Concept:</strong> Inverse via logarithm — base-10 log of both sides</div></div>
Correct Answer: x = y^{1/log 5}