Question

Which exponential equation is equivalent to this logarithmic equation?

log, 6 + 3 log, 2 = x
A.17 48 Thing
B. 71 = 12 O
C.748 O
D.27 = 12

Answer 1

The logarithmic equation log6 + 3 log2 = x can be rewritten as the exponential equation
`6 + 2^3 = 2^x`.

Step-by-step explanation:

The logarithmic equation log6 + 3 log2 = x can be rewritten using the property that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. Therefore, we can rewrite the equation as:

log6 + log23 = x

Using the property that the logarithm of a product of two numbers is the sum of the logarithms of the two numbers, we can simplify the equation to:

log6 + 3 log2 = x

So, the equivalent exponential equation is 6 + 23 = 2x.