Question

Please check answers:

Use the equation of the exponential function whose graph passes through the points (0,-2) and (2,-50) to find the value of y when x= -2.

My answer: -2/25

Solve 64^x<32^x+2
Answer: x<10

Write the equation log(243)81=4/5
Answer: 243^4/5 = 81

Evaluate 9^log954
Answer: 6

Solve log(1/8)x = -1
Answer: 8

Solve log2(7x-3)>/= log2(x+12)
Answer: x>/=5/2

Thanks.

Answer 1

<<Solve 64^x < 32^(x+2) >>
64^x < 32^(x+2) = 32
(32*2)^x < 32^x * 32^2
32^x*2^x < 32<x * 32^2
2^x < 32^2 = 1024 = 2^10
x < 10
Good job!

<<Solve log(1/8)x = -1 >>
(1/8)^-1 = x
8 = x