SOLUTION: Solve a) 3^x =2 b) 4^x-5 c) 7^(-x)=3 d) 3^(1-x) = 5 e) (1/8)^x = 25 f) 5^(3x) =41 Can you please help me out? thanks so much in advance:) Can you show the work too becau

Question 742182: Solve
a) 3^x =2
b) 4^x-5
c) 7^(-x)=3
d) 3^(1-x) = 5
e) (1/8)^x = 25
f) 5^(3x) =41
Can you please help me out? thanks so much in advance:)
Can you show the work too because I will understand better thankyou:)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve
a) 3^x =2
b) 4^x-5
c) 7^(-x)=3
d) 3^(1-x) = 5
e) (1/8)^x = 25
f) 5^(3x) =41
------
These are all similar.
I'll do the "hardest" ones.
Solve
a) 3^x =2
b) 4^x-5 No equal sign
c) 7^(-x)=3
d) 3^(1-x) = 5
(1-x)*log(3) = log(5)
1-x = log(5)/log(3)

-----------------
e) (1/8)^x = 25
x*log(1/8) = log(25)
x = log(25)/log(1/8)
x =~ -1.54795
-----------------
f) 5^(3x) =41

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