SOLUTION: Express log base of 3 (x+2) = 5 in exponential form.

Question 856495: Express log base of 3 (x+2) = 5 in exponential form.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
log3(x+2) = 5 if and only if 3^5 = x+2
solve for x to get x = 3^5 - 2
simplify to get x = 241
put the following in your calculator to see if the calculator gives you 5 as the answer:
LOG(241+2)/LOG(3)
I did in my calculator and the answer is 5 as it should be if you translated to the exponential form correcly.
the general equation is:
logb(a) = c if and only if b^c = a
in your case:
a is equal to x+2
b is equal to 3
c is equal to 5
that's why you got what i placed on the first line, which was:
log3(x+2) = 5 if and only if 3^5 = x+2

RELATED QUESTIONS
Express in exponential form log 3 243 =... (answered by Alan3354)

Express y in terms of x log base 2 y - log base 2 x = 3 + log base 2... (answered by nerdybill)

write in exponential form log3 49=x log with a base of 3 49 =... (answered by Alan3354)

if log [base x] (3) - log [base 2] (a) = log [base 3] (a), express log [base x] in terms... (answered by jsmallt9)

Write the expression as a sum and or difference of logarithms express powers as factors. (answered by jim_thompson5910,MathTherapy)

Express y in terms of x log base 4 y=log base 2 x+log base 2 9 - log base 2... (answered by jsmallt9)

log[5](x-2)=3 logarithm to exponential form (answered by mananth,math_tutor2020)

if log base 2 (3) equals x-1, express log base 2 (12) in terms of x (answered by stanbon)

if log base 4 of 5 = x and log base 4 of 3 = y, express log base 4 of (125/sqrt3) in... (answered by lwsshak3)