Given that log, (2) - 0.29 and log, (3) - 0.46 , evaluate each of the following: a) log,(16) × b) log, (6) z c) log,(1.5) = d) log, (v3 e) log.(4.5) - f) log, (12) z

Q: Suppose log, 2 = 5 and log, 3 = 8, find: a) log, 18 b) loga i 4

A: we know that  log ab = log a + log b  log a/b = log a - log b  log ab = b log a

Q: Simplify the following into a single logarithm: 2 log(6) + 2 log(x) 62 O log x2 () 2.6 O log 2x O…

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Q: If log, = 3 then 3D3 then O z=8 I = 27 O x = 125 =64 x = 216

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Q: Determine ALL restricted values for: Log (In (log2x)) 2 and explain why

A: The given function

Q: Evaluate: 10 logb(b3) − 4 logb(√b)

A: Let the given expression be y - y = 10logbb3-4logbby = 103logbb-4logbb12…

Q: 3 Expand the logarithmic expression: In- x 2-4

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

A: topic - logarithmic equations

Q: use the properties of the natural logarithm to: A. expand the logarithmic expression: ln (2x/x+2)…

A: A) ln2xx+2B) 5 lnx-7 lny-8 lnz

Q: Evaluate: log, 16+21og,,3 Select one: O a. O b. 0 4 O d. -4

A:

Q: Find the number, if possible

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Evaluate the following expressions 5. log, 3

A: Evaluate the given expression.

Q: Evaluate: (a) log, 9 + log64 (b) In (c) 10log, (b³) – 4 log,(b)

A: (a) Evaluate the expression log69+log64 as follows. log69+log64=log6(9×4)…

Q: Use the laws of logarithms to combine the expression: 2 (log, x + 2 log, y – 3 log, z)

A: To use the laws of logarithms to combine the expression

Q: Evaluate: log,36²/3 given than log636 = 2

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Q: Simplify log(60)+log(15)−log(2)−log(2) as a single logarithm

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Q: Simplify the following into a single logarithm: 4 log(3) 3 log(x) O log (4:2) 3x log (4.3.x³) log…

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