Question

find the value of x in each of the following ​

Answer 1

Step-by-step explanation:

i) 5x+2=2^5

5x+2=32

5x=32-2

5x=30

x=6

ii) 3x-2=4^3

3x-2=64

3x=66

x=22

iii) (3/4)^3= 3^3/4^3

(4/3)^-7=(3/4)^7=3^7/4^7

(3/4)^3(4/3)^-7=(3/4)^3(3/4)^7=(3/4)^10

(3/4)^(2×5)=(3/4)^(2x)

hence x=5

v) 3^(3x+2x-x)=3^5

3^4x=3^5

hence 4x=5

x=5/4