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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Question : MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. : 2163611

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the indicated composite for the pair of functions.

161) logbx + logby

A) log2b(x + y)

B) logbxy

C) log2bxy

D) logb(x + y)

Write the expression as one term. Evaluate if possible.

162) log32 - log8

A) 24

B) log4

C) log24

D) 4

163) log800x2 - log8x2

A) 2

B) log2

C) log792

D) log100

Rewrite the expression using the power rule.

164) log5y6

A) 6 log5y

B) 6 log5y

C) log56y

D) 30 logy

165) ln(12.2)x + 5

A) x + 5ln12.2

B) (x + 5)ln12.2

C) ln12.2(x + 5)

D) xln12.2 + 5

166) ln31/2

A) ln6

B) (1/2)ln3

C) ln(3/2)

D) 2ln3

167) 6√log2(z)

A) log2(z/6)

B) 6log2z

C) (1/6)log2z

D) (1/3)logz

Use the properties of logarithms to write the expression as the logarithm of a single expression.

168) logbx - logby

A) logbx - y

B) logb(x/y)

C) log2b(x/y)

D) logb(y/x)

169) 2logx + 8 logy

A) log(x2/y8)

B) log2(x/8)

C) logxy4

D) logx2y8

170) lnx2 - 2 ln√(x)

A) 1

B) lnx3/2

C) lnx

D) 2

171) log8 + log8(x + 1)

A) x + 2

B) 8(x + 1)

C) log8x

D) log8(x + 2)

172) logam + 6logak - logan

A) loga(m/k6n)

B) loga(6mk/n)

C) logamk6n

D) loga(mk6/n)

173) logyx - logy(x + 6)

A) logy(x + 6/x - 6)

B) logy6

C) logy(x/x + 6)

D) logy(x + 6)

174) 2logy(x + 1) - logy(x2 - 1)

A) logy(x + 1/x - 1)

B) logy(x + 1)

C) log2y(x + 1/x - 1)

D) logy(1 - x)

Use properties of logarithms to write the expression in terms of logarithms of x, y, z.

175) loga(8x2yz6)

A) 12 loga8xyz

B) loga8 + 2 logax + logay + 6 logaz

C) 8 + logay + logaz6

D) loga8 - 2 logax - logay - 6 logaz

176) log2(x4 y5/5)

A) 4 log2x - 5 log2y - log25

B) 4 log2x + 5 log2y - log25

C) (4 log2x)(5 log2y) - log25

D) 4 log2x + 5 log2y + log25

177) logb(x8z7/y4b3)

A) 8 logbx + 7 logbz - 4 logby - 3

B) x8z7 - y4b3

C) 8 logbx + 7 logbz - 4 logby + 3

D) logbx8 + logbz7 + logby4 - logbb3

178) log4(x3/√(yz4))

A) 3log4x - (1/2) log4yz4

B) 3log4x - (1/2) log4y - 2log4z

C) 3log4x - 2 log4y + 2log4z

D) (6log4x/log4y + 4log4z)

179) ln(x4y3z5)

A) 4lnx - 3lny - 5lnz

B) ln(4/x) + ln(3/y) + ln(5/z)

C) 4lnx + 3lny + 5lnz

D) ln4x + ln3y + ln5z

Solve.

180) Given log2 ≈ 0.3010 and log3 ≈ 0.4771, evaluate log24.

A) 1.7323

B) 0.5044

C) 0.4308

D) 1.3801

Solution
5 (1 Ratings )

Solved
Algebra 2 Years Ago 350 Views
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