SOLUTION: Can i please have a detailed answer step by step of the folllowing question: i) 9^x+5=50

Question 179548This question is from textbook Core Mathematics 2
: Can i please have a detailed answer step by step of the folllowing question:
i) 9^x+5=50 This question is from textbook Core Mathematics 2

Found 2 solutions by josmiceli, nerdybill:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

Subtract from both sides

Note that I can write this way:

That's the same as saying

Divide both sides by

This is the same as

I can use the formula which says:
with

answer
check:

close enough

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Like any other algebraic equation, solve for x by isolating it to one side of the equation.
.
9^x+5=50
subtract 5 from both sides:
9^x=45
take log_9 (log base 9) of both sides:
x = log_9(45)
x = log(45)/log(9)
x = 1.7325
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