Question:
If $ \log_2(x + 1) = 3 $, what is the value of $ x $?
If $ \log_2(x + 1) = 3 $, what is the value of $ x $?
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To solve logarithmic equations, convert them into exponential form using $ \log_b(a) = c \Rightarrow b^c = a $.
Updated On: May 24, 2025
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The Correct Option is A
Solution and Explanation
Given: $ \log_2(x + 1) = 3 $
Convert to exponential form: $$ x + 1 = 2^3 = 8 $$
Solving for $ x $: $$ x = 8 - 1 = 7 $$
Convert to exponential form: $$ x + 1 = 2^3 = 8 $$
Solving for $ x $: $$ x = 8 - 1 = 7 $$
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