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Solve the exponential equation 5^2x+1=40 algebraically, using logarithms. Show your work and round your answer to three decimal places.?

Science & Mathematics by Anonymous 2018-06-01 14:04:54

Social Science

Solve the exponential equation 5^2x+1=40 algebraically, using logarithms. Show your work and round your answer to three decimal places.?

1 answer

  • Anonymous

    5^(2x+1) = 40, ie., 5^(2x) = 8, ie., 25^x = 8, ie., xln25 = ln8, ie., x = ln8/ln25 = 0.6460148371 approx. 0.646.

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