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Given that log10 2 ≈ 0.3010 and log10 3 ≈ 0.4771, find each logarithm without using a calculator. log10 6
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6. Exponential & Logarithmic Functions
Introduction to Logarithms
Scelta multipla
Change the following logarithmic expression to its equivalent exponential form.
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Guida verificata passo dopo passo1
Identify the given logarithmic expression: \( x = \log_9 10 \).
Recall the definition of a logarithm: \( \log_b a = c \) means \( b^c = a \).
Apply the definition to the given expression: \( \log_9 10 = x \) implies \( 9^x = 10 \).
Rewrite the logarithmic expression in its equivalent exponential form: \( 9^x = 10 \).
Verify the conversion by checking that the base raised to the power of the logarithm equals the original number: \( 9^x = 10 \).
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