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Answer :
To express the equation [tex]\(13^2 = 169\)[/tex] in logarithmic form, we need to remember the fundamental relationship between exponents and logarithms. The exponential equation [tex]\(a^b = c\)[/tex] can be rewritten in logarithmic form as [tex]\(\log_a c = b\)[/tex].
In the equation [tex]\(13^2 = 169\)[/tex]:
- The base [tex]\(a\)[/tex] is 13.
- The exponent [tex]\(b\)[/tex] is 2.
- The result [tex]\(c\)[/tex] is 169.
Using the formula, we can write the logarithmic form as [tex]\(\log_{13} 169 = 2\)[/tex].
So, the correct choice from the given options is:
[tex]\(\log_{13} 169 = 2\)[/tex]
In the equation [tex]\(13^2 = 169\)[/tex]:
- The base [tex]\(a\)[/tex] is 13.
- The exponent [tex]\(b\)[/tex] is 2.
- The result [tex]\(c\)[/tex] is 169.
Using the formula, we can write the logarithmic form as [tex]\(\log_{13} 169 = 2\)[/tex].
So, the correct choice from the given options is:
[tex]\(\log_{13} 169 = 2\)[/tex]
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