Question

question 16
$10^{\log 7}$
7
70
10,000,000
0.00000001

Explanation:

Step1: Recall Logarithm Property

The property of logarithms and exponents: For \(a>0,a
eq1\), \(a^{\log_a x}=x\) (where \(x > 0\)). Here, the base of the logarithm (assuming common logarithm, base 10) and the base of the exponent are both 10. So \(10^{\log 7}\) (where \(\log\) is base 10) follows \(a^{\log_a x}=x\) with \(a = 10\) and \(x=7\).

Step2: Apply the Property

Applying the property \(a^{\log_a x}=x\) (with \(a = 10\) and \(x = 7\)) to \(10^{\log 7}\), we get \(10^{\log 7}=7\).

Answer:

7 (the option with the blue circle, or the first option: 7)