Verified answer

a) 2^x = 128

2^x = 2^7

x=7

b)2^(x – 2) = 8

2^(x-2) = 2^3

x-2=3

x=5

c)5^x = 1/125

5^x = 1/5³

5^x = 5^(-3)

x=-3

d) 4^x = 512

(2²)^x = 2^9

2^(2x) = 2^9

2x=9

x=9/2

a)2^x=2^7

x=7

b)2^x-2=2³

x-2=3

x=3+2

x=5

c)5^x=5-³

x=-3

4)(2²)^x=2^8

2x=8

x=8/2

x=4

a) 128 = 2^7

2^x = 2^7

x = 7

b) 2^x = 2^3 + 2^1

x = 3 + 1

x = 4

c) 1/125 = 5^-3

5^x = 5^-3

x = -3

d)512 = 2^9

4^x = 2^2x

2^2x = 2^9

2x = 9

x = 9/2