Logarithmic Equations | MCQs

Explanation

Given log₁₂(12³) = x:

Using logarithm properties, logₐ(aⁿ) = n:

x = 3

Explanation

log5​25(125)(625)​=log5​5253.54​=log5​5257​

=log5​55=5log55​

=5 

Explanation

Given the equation:

log3 (4x + 3) = 3

We can rewrite this in exponential form:

3³ = 4x + 3

27 = 4x + 3

Subtracting 3 from both sides:

24 = 4x

Dividing both sides by 4:

x = 6

Explanation

The logarithmic equation t = log𝑏 m means that b raised to the power t equals m.

Converting to exponential form: m = bᵗ.

Explanation

Explanation

If log3x = 4, then:

3^4 = x

81 = x

So, the value of x is 81.