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4 votes
Solve. 90
x = 27.

1 Answer

5 votes

Answer:
x
0.732

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\ (a)/(c)=(b)/(c)

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


(xlog(90))/(log(90))=(log(27))/(log(90))\\\\x=(log(27))/(log(90))


x
0.732

User Shaze
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