$$5^x + 3= 8 - 3 \times 5^x$$
Could you please help me? I do not know how I can use the logarithm here. I basically tried to use different logarithm laws, but they are only for multiplication and not for addition.
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$$4\times 5^x = 5 \iff 5^x=5/4 \iff x=\frac{\log(5/4)}{\log 5}=1-\frac{2\log 2}{\log 5}$$
A. Goodier
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I know this law, but i do not know how it could help me solving this equation. – ashold7 Dec 10 '17 at 12:40
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The solution to your equation is $x=\log(5/4)/\log 5$. – A. Goodier Dec 10 '17 at 12:42
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Yeah the solution is right, but how did you simplified the equation to 4 x 5^x=5? – ashold7 Dec 10 '17 at 12:44
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1Add $3\times 5^x$ to both sides and subtract $3$ from both sides – A. Goodier Dec 10 '17 at 12:45
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Thanks mate I understood it. – ashold7 Dec 10 '17 at 12:56