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Iteru [2.4K]
3 years ago
5

Solve. 90 = 27.

Mathematics
1 answer:
Irina-Kira [14]3 years ago
7 0

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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