The question is incomplete, the complete question is "Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. See Example 9. $log_{4}7$ .

$log_{4}7=1.404\\$

Step-by-step explanation:

From the general properties or laws of logarithm, we have the

$log_{a}b=\frac{logb}{loga} \\$

where both log are now express in the natural logarithm base.

i.e $log_{a}b=\frac{lnb}{lna}\\$

hence we can express our $log_{4}7=\frac{ln7}{ln4} \\$ .

the value of ln7 is 1.9459 and ln4 is 1.3863

Hence $log_{4}7=\frac{ln7}{ln4}=\frac{1.9459}{1.3863}\\$ .

$log_{4}7=1.404\\$

6 0

3 years ago

Please help me thank you

Phantasy [73]

The answer is B. The second one

3 0

3 years ago

Lin took 75 boxes of carrots and 80 boxes of potatoes to the market. She sold 68 boxes of carrots and 71 boxes of potatoes. How

Ugo [173]

16 vegetables because 75-68=7 and 80-71=9 and 9+7=16

5 0

3 years ago

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The vertex of the parabola below is at the point (-4,-2) wich of the equations below could be the one for this parabola

MrRissso [65]

The parabola with with a vertex at (-4,-2) represents any member of parabolas with the equation $y(x)=a(x+4)^2-2$ where $a$ is any real number with the exception that $a\neq 0$ .

The reason any equation of the form $y(x)=a(x+4)^2-2$ works is that there are an infinite number of parabolas with a vertex at (-4,-2). All of these parabolas are formed by applying some transformation that involves a vertical translation of -2 and a horizontal translation of -4 on the parabola $y=x^2$ . The different variations are archived by varying the constant $a$ . When $a$ is negative, the parabolas will face downwards. When $a$ is negative, the parabolas will be face downwards.

6 0

3 years ago

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