Question

Решите log4(2X-3)=3

Answer 1

Log₄(2x-3)=3
2x-3=4³
2x-3=64
2x=67
x=33,5

Answer 2

4(2x-3)=3
8x-12=3
8x=15:8
X=1 7/8

Answer 3

To solve the equation log₄(2X-3) = 3, we can start by applying the definition of logarithms, which states that logₐ(b) = c if and only if a^c = b.

In this case, we have:

log₄(2X-3) = 3

4³ = 2X-3 (using the definition of logarithms)

64 = 2X-3

Adding 3 to both sides, we get:

2X = 67

Dividing by 2, we get:

X = 33.5

Therefore, the solution to the equation log₄(2X-3) = 3 is X = 33.5.