SOLUTION: Solve the exponential equation. Express the solution set in terms of natural logarithms. 2^8x=45 the 8x is raised. e^x+5=8 the x+5 is raised. Thank you so much this sit

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the exponential equation. Express the solution set in terms of natural logarithms. 2^8x=45 the 8x is raised. e^x+5=8 the x+5 is raised. Thank you so much this sit      Log On


   

Question 326702: Solve the exponential equation. Express the solution set in terms of natural logarithms.
2^8x=45
the 8x is raised.
e^x+5=8
the x+5 is raised.
Thank you so much this site is amazing!
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
2^(8x)=45

ln(2^(8x))=ln(45)

8x*ln(2)=ln(45)

x = (ln(45))/(8*ln(2))

x = 0.686481637

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e^(x+5)=8

x+5=ln(8)

x=ln(8)-5

x = -2.92055846