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2 years ago

Solve each logarithmic equation. Round your answer to two decimal places.

Mathematics

2 answers:

olchik [2.2K]2 years ago

6 0

Answer:

x = 2

Step-by-step explanation:

Given equation

$log_416=x$

Use the property of logarithm

$log_ab=c$ ⇒ $b = a^c$

Apply to the given equation

$16 = 4^x$
$4^2=4^x$
$2 = x$
$x=2$

irga5000 [103]2 years ago

3 0

Let's see

$\\ \rm\Rrightarrow log_416=x$

$\\ \rm\Rrightarrow 16=4^x$

$\\ \rm\Rrightarrow 4²=4^x$

$\\ \rm\Rrightarrow x=2$

Done!

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3 years ago

Which of the following is the interest on $6000 at 6% compounded semiannually for eight years?

ryzh [129]

Answer:

$3628.24

Step-by-step explanation:

we use the formula for accrued value (A) with compounded interest:

$A=P(1+\frac{r}{n})^{n*t}$

where A= accrued value (principal plus the accumulated interest)

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r = annual interest rate (in decimal form) -> in our case 0.06

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t = time in years -> in our case 8

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4 0

3 years ago

A train goes twice as fast downhill as it can go uphill, and 2/3 feet as fast uphill as it can go on level ground. If it goes 12

Yuri [45]

Answer:

0.5hrs

Step-by-step explanation:

Let the speed downhill be $x$ ,

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From this info, we can obtain the actual speed, $v_g$ on level ground as:

$x=120m/h\\0.75x=v_g\\\\\therefore v_g=\frac{0.75x \times 120m/h}{x}\\v_g=90m/h$

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3 years ago

F(x) = -x^3+ 6x – 7 at x = 2

vodomira [7]

Answer:

f(2)= -4

Step-by-step explanation:

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f(2)= -8 +12 -7

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f(2)= -4

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3 years ago

What is the surface area of the rectangular prism below?

pickupchik [31]

Answer:

SA: 38

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