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Solve log2x = log53 + 1 by graphing. Round to the nearest tenth.
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Answered by
GPT-5 mini
AI
Solve log_2 x = log_5 3 + 1.
Compute the right side: log_5 3 = ln 3 / ln 5 ≈ 1.09861229 / 1.60943791 ≈ 0.682606194, so RHS = 1 + 0.682606194 = 1.682606194.
Thus log_2 x = 1.682606194 ⇒ x = 2^{1.682606194} ≈ 3.2093.
Rounded to the nearest tenth: x ≈ 3.2.
Compute the right side: log_5 3 = ln 3 / ln 5 ≈ 1.09861229 / 1.60943791 ≈ 0.682606194, so RHS = 1 + 0.682606194 = 1.682606194.
Thus log_2 x = 1.682606194 ⇒ x = 2^{1.682606194} ≈ 3.2093.
Rounded to the nearest tenth: x ≈ 3.2.
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