Maths Olympiad Exponential Equation | X=?

[@RyanLewis-Johnson-wq6xs]

5^(Log[5,2]+3)+5^(Log[5,2]+3)=500 x=Log[5,2]+3 Input 5^(log(5, 2) + 3) + 5^(log(5, 2) + 3) = 500 Result True Reduced logarithmic form True It’s in my head.

[@Alamaths]

You are a professor of maths.

[@Alamaths]

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[@AbbasGuclu-jn3po]

5^x=250 x log5=log(125×2) x=(log5^3+log2)/log5 x=3+log5(2)

[@Alamaths]

Great 👍. Thanks for the comment Are you a maths teacher 🥰?

[@phillipmcduffie9353]

Solve for x, the unknown: OK ! 1. 5^x + 5^x = 500 ( Hummm! ) 2. 2•5^x. = 500 ( Combining ) 3. 5^x. = 250 ( Dividing ) 4. log ( 5^x ) = log ( 250 ) ( Take log ) 5. x • log ( 5 ) = log ( 250 ) 6. x = log ( 250 ) / log ( 5 ) ( Answer )

[@Alamaths]

Good. Thanks for the comment 👍 Where are you watching from 😘?

[@phillipmcduffie9353]

@Alamaths Southeastern Texas, USA. Near the Gulf Coast. Please, keep put up problems.