Question

Which equation is equivalent to 7(x-2) = 149? Will give Brainly points

Answer 1

Answer:

B. $\log_{7} 149+2 = x$

Step-by-step explanation:

Let $7^{x-2} = 149$, we proceed to find its equivalent expression by applying logarithm properties:

1) $7^{x-2} = 149$ Given.

2) $\log_{7} 7^{x-2} = \log_{7} 149$ Definition of logarithm.

3) $(x-2)\cdot \log_{7}7 = \log_{7} 149$    $\log_{a} b^{c} = c\cdot \log_{a} b$

4) $x-2=\log_{7}149$     $\log_{a}a = 1$

5) $x = \log_{7}149+2$   Compatibility with addition/Existence of additive inverse/Modulative property

6) $\log_{7} 149+2 = x$ Symmetrical property/Result.

Hence, the right answer is B.