Question

2³+2³+2³+2³=2^x find x

Answer 1

Given:-

2³ + 2³ + 2³ + 2³ = 2^x

To Find:-

value of x.

Solution:-

• 1st method

2³ + 2³ + 2³ + 2³ = 2^x

Taking 2³ as common

•°• 2³( 1 + 1 + 1 + 1) = 2^x

2³ × 4 = 2^x

write 4 as exponential form

2³ × 2² = 2^x

2³ + ² = 2^x

2⁵ = 2^x

since 2 = 2 on both the side

•°• x = 5

• 2nd method

2³ + 2³ + 2³ + 2³ = 2^x

8 + 8 + 8 + 8 = 2^x

16 + 16 = 2^x

32 = 2^x

write 32 in exponential form

2⁵ = 2^x

°•° 2 = 2

•°• x = 5