Question

How to solve
3 log 2x=4

Answer 1

= 5 * 10 ^ 1/3

Explanation:

3 log 2x=4

Divide each side by 3

3/3 log 2x=4/3

log 2x=4/3

Raise each side to the power of 10

10 ^(log 2x)=10 ^(4/3)

2x = 10 ^(4/3)

Divide by 2

2/2x = 1/2 * 10 ^(4/3)

x = 1/2 * 10 ^4/3

10 ^ 4/3 = 10 * 10 ^ 1/3

x = 1/2 ( 10) 10 ^ 1/3

= 5 * 10 ^ 1/3