Change the following logarithmic expression to its equivalent exponential form.
$x=\log9$

• A. $x=9$
• B. $9^{x}=10$
• C. $1^{x}=9$
• D. $10^{x}=9$

Answer: (D)

Verified step by step guidance

1. Identify the given logarithmic expression: \( x = \log_9 10 \).
2. Recall the definition of a logarithm: \( \log_b a = c \) means \( b^c = a \).
3. Apply the definition to the given expression: \( \log_9 10 = x \) implies \( 9^x = 10 \).
4. Rewrite the logarithmic expression in its equivalent exponential form: \( 9^x = 10 \).
5. Verify the conversion by checking that the base raised to the power of the logarithm equals the original number: \( 9^x = 10 \).