Question

If $ \log_2(x + 1) = 3 $, what is the value of $ x $?

• A. 7
• B. 8
• C. 9
• D. 10

Hint:

To solve logarithmic equations, convert them into exponential form using $ \log_b(a) = c \Rightarrow b^c = a $.

Answer 1

The Correct Option is A

Given: $ \log_2(x + 1) = 3 $
Convert to exponential form: $$ x + 1 = 2^3 = 8 $$
Solving for $ x $: $$ x = 8 - 1 = 7 $$