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Scilla [17]
3 years ago
5

Using benchmarks, what is the approximate value of each?

Mathematics
1 answer:
Effectus [21]3 years ago
3 0
For a 7*7=49 so sqrt(49)=7
6*6=36 so sqrt(36)=6

and since sqrt(x) is am increasing function then
6 < sqrt(42) <7

you do the same for b but with 4 values :
like 4*4*4= 64
and 3*3*3=27
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Solve. 90<img src="https://tex.z-dn.net/?f=x" id="TexFormula1" title="x" alt="x" align="absmiddle" class="latex-formula"> = 27.
Irina-Kira [14]

Answer: x≈0.732

Step-by-step explanation:

You need to find the value of the variable "x".

To solve for "x" you need to apply the following property of logarithms:

log(m)^n=nlog(m)

Apply logarithm on both sides of the equation:

90^x=27\\\\log(90)^x=log(27)

Now, applying the property mentioned before, you can rewrite the equation in this form:

xlog(90)=log(27)

Finally, you can apply the Division property of equality, which states that:  

 If\ a=b,\ then\ \frac{a}{c}=\frac{b}{c}

Therefore, you need to divide both sides of the equation by log(90). Finally, you get:

\frac{xlog(90)}{log(90)}=\frac{log(27)}{log(90)}\\\\x=\frac{log(27)}{log(90)}

x≈0.732

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