Consider the equation: 8*-3 = 16*+3 a) Solve this equation algebraically using logarithms. b) Solve this equation using a rewriting each power to the same base.

Q: use logarithm to solve

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Q: Consider the equation: 9*-2 a) Solve this equation algebraically using logarithms. b) Solve this…

A: Given 9^(x-2)  =  27^(x+4)

Q: olve 32+1 = 22, expressing your answer in exact form in terms of log3-

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Q: Solve the following exponential equation: 62z+3 = 7* using the following methods. (a) Take the…

A: Given that  62x+3=7x (a) Taking "log10" on both sides we get, log1062x+3=log107x We will use…

Q: log,(x + 2) + log,(x- 4) = 1 %3D

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Q: Solve for c: log, (9z + 2) = log, (x + 4)

A: Given: log29x+2=log2x+4

Q: Let g(x) loge (tan (x)). Evaluate g' )

A: We have to evaluate the value of g'(π/4) and in second part the value of x

Q: Solve the logarithmic equation: log , (10 – 2x) – log , (x + 3) = 1.

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Q: Rewrite the equation in log form: 5-2 = 1 25 What would the base of the log be? What number would go…

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Q: Express in exponential form:-8+ 8i/3.

A: Given z = -8+8i3 Compare it with z = x+iy Here x = -8y = 83 Then r = x2+y2= (-8)2+(83)2= 64+192=…

Q: log2(x + 2) + log2x = 3 %3D

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Q: Solve the equation using logarithm: 1032 – 6 = 58x – 3

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Q: Evaluate the complex logarithm: In(i² + i*) O In v2 + i O In v2 - i O In v2 - *i O In v2+ *i

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Q: Solve : log (4 + ) = 3 log, 4 O r = 68 O r = -60 O r = 12 x = 60 O æ = 0

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Q: 7. What is the solution of each equation? a) log (4x – 5000) b) 3**3 = 27*-5 = 3 %3D -

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