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kiruha [24]
3 years ago
10

What is the solution of log(2x-5) 25 = 2?

Mathematics
1 answer:
Bingel [31]3 years ago
5 0
Step 1: Divide both sides by 25.<span><span><span>25<span>(<span>log<span>(<span><span>2x</span>−5</span>)</span></span>)</span></span>25</span>=<span>225</span></span><span><span>log<span>(<span><span>2x</span>−5</span>)</span></span>=<span>225</span></span>Step 2: Solve Logarithm.<span><span>log<span>(<span><span>2x</span>−5</span>)</span></span>=<span>225</span></span><span><span>10<span>log<span>(<span><span>2x</span>−5</span>)</span></span></span>=<span>10<span>225</span></span></span>(Take exponent of both sides)<span><span><span>2x</span>−5</span>=<span>10<span>225</span></span></span><span><span><span>2x</span>−5</span>=1.202264</span><span><span><span><span>2x</span>−5</span>+5</span>=<span>1.202264+5</span></span>(Add 5 to both sides)<span><span>2x</span>=6.202264</span><span><span><span>2x</span>2</span>=<span>6.2022642</span></span>(Divide both sides by 2)<span>x=3.101132</span>
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