Use the Laws of Logarithms to combine the expression into a single logarithm. (a) log a + 2 log b (b) In(x² – 25) – In(x + 5) (c) log, 3 – 3 log, x + log:(x + 1)

Q: (B) 3 log, (2x – 5) -8= 7

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Q: Rewrite the expression In(a + b) + 3 ln(a - b) - 3 ln c as a single logarithm In A. Then the…

A: The given expression is . The objective is to rewrite the expression into a single logarithm.

Q: Combine the given expression into a single logarithm with coefficient one: ½lnx + ln(x + 1) (x − 1)…

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Q: Condense the expression to the logarithm of a single quantity. 14 In(x In(x + 7) + In(x) - In(x4 -…

A:

Q: b) log(x) + 2log(y) - 3log(z) + log 2

A: topic - logarithmic equations

Q: Simplify fully. (a) eln 4z (b) log 10* (c) 5log, 8z (d) log, 167y

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Q: log(is²t) + 1 log; 10 + logn C logn, 10

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Q: (a) Given that log, 2=log, 5, find x.

A: Given, log82=logx5

Q: Express log(x²-x-12) - log(x² - 7x + 12) as a single logarithm. State any restrictions on the…

A: Given : expression  logx2-x-12-logx2-7x-12 Prerequisite : Here we use the formula log a - log b =log…

Q: Given log6=a and log14=b, determine the following expression in terms of a and b log49/9 +…

A: We have log 6 = a or log(2*3) = a or log2 + log3 = a   And log 14 = b log(7*2) = b log 7 + log 2 = b

Q: Write the expression as a logarithm of a single quantity. [In(x2 – 1) – In(x + 1) + In(x – 1)]

A: The solution of the second problem is given in the next step.