What is the value of log16 4?

1 answer:

6 0

1 ) log ( 16 ) 4 = 1/2
Answer: B ) 1/2
2 ) 125 ^( 9 x - 2 ) = 150
9 x - 2 = log ( 125 ) 150
9 x - 2 = 1.038
9 x = 1.038 + 2
9 x = 3.038
x = 3.038 : 9
x = 0.3375
Answer: C ) 0.3375
3 ) log ( 3 x + 2 ) = 3
3 x + 2 = 10^3
3 x + 2 = 1000
3 x = 1000 - 2
3 x = 998
x = 998 / 3
Answer: B ) 998 / 3

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If f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction, what is the value of (StartFraction f Over g EndFraction) (5)

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Answer:

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Step-by-step explanation:

* If f(x) = 7 + 4x

* If g(x) = $\frac{1}{2x}$

* We want to find $\frac{f}{g}(5)$

- Lets find at first $\frac{f}{g}(x)$

∵ f(x) = 7 + 4x

∵ g(x) = $\frac{1}{2x}$

∴ $\frac{f}{g}(x)=\frac{7+4x}{\frac{1}{2x}}$

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∵ The denominator is $\frac{1}{2x}$

∴ (7 + 4x) ÷ $\frac{1}{2x}$

- Lets reverse the division sign to multiplication sign and reciprocal

the fraction after the division sign

∴ (7 + 4x) × $\frac{2x}{1}$

∴ $\frac{f}{g}(x)$ = 2x(7 + 4x)

∴ $\frac{f}{g}(x)$ = 14x + 8x²

- Now substitute x by 5

∴ $\frac{f}{g}(5)$ = 14(5) + 8(5)² = 70 + 200 = 270

∴ $\frac{f}{g}(5)$ = 270

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