SOLUTION: Solve each equation for x thus expressing x as a log function of y a) y = 5(2)^x b) y = 1.3(10)^x c) y = 8.2(1.3)^x d) y = 6.4(1/2)^x e) y = 3.5(2.7)^x f) y = 2.75(2/3)^x

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve each equation for x thus expressing x as a log function of y a) y = 5(2)^x b) y = 1.3(10)^x c) y = 8.2(1.3)^x d) y = 6.4(1/2)^x e) y = 3.5(2.7)^x f) y = 2.75(2/3)^x       Log On


   



Question 864593: Solve each equation for x thus expressing x as a log function of y
a) y = 5(2)^x
b) y = 1.3(10)^x
c) y = 8.2(1.3)^x
d) y = 6.4(1/2)^x
e) y = 3.5(2.7)^x
f) y = 2.75(2/3)^x
Can you please help me out? Thanks so much in advance:)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve each equation for x thus expressing x as a log function of y
a) y = 5(2)^x
log(y) = log(5) + x*log(2)
x = log(y/5)/log(2)
-----------------
The others are similar.
b) y = 1.3(10)^x
c) y = 8.2(1.3)^x
d) y = 6.4(1/2)^x
e) y = 3.5(2.7)^x
f) y = 2.75(2/3)^x