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: ii. - 4+log, 9+ log, 2+ 2log, 7

A:

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: form into one log expression:  log4(64 x √644) + log4(46 + 43 / √256)2

A: To form one log expression.

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

A:

Q: Evaluate: 10 logb(b3) − 4 logb(√b)

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

Q: 9) Write each logarithmic equation in exponential form: b. In(125) =x b. 5= log , 243 d. lbg, 2= 3

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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: Write an expression equal to - log, (c) · log (b) |using exactly one log. (hint: the base of the log…

A: Concept: Here we shall use the formula for change of base. logab=logcblogca Using the identity we…

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: log,9 – log,5 = log , 4 4

A:

Q: 4 log, (Vx)° + log, (VA)* – 3 log4 log2 x

A: log4x38 + log4x34 - 3log4xlog2x= log4x83 + log4x43 - 3log4xlog2x=83log4x + 43log4x - 3log4xlog2x…

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

A:

Q: If loga (3x + 2) + log, 1= log, 8 then x= %3D Select one: Oa. 1 O b. 0 Oc. 2 d. 3

A: It is an important part of statistics. It is widely used.

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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