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iris [78.8K]
4 years ago
13

Find the value of k given that logk - log (k-2) = log5

Mathematics
2 answers:
aniked [119]4 years ago
7 0

4k = 10

k = \frac{10}{4}

= \frac{5}{2}

victus00 [196]4 years ago
3 0

k = \frac{5}{2}

using the ' laws of logarithms '

log x - log y = log ( \frac{x}{y})

logx = logy ↔ x = y

logk - log(k - 2) = log5

log ( \frac{k}{(k - 2)} =log 5

\frac{k}{(k - 2)} = 5

5(k - 2) = k

5k - 10 = k

4k = 10 ⇒ k = \frac{10}{4} = \frac{5}{2}


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