How do I solve 3= log8+3log x?

1 answer:

3 0

3 = log(8) + log(x³) 

When adding logs, you are multiplying the terms altogether. 

3 = log(8x³) 

Then, by log_a b = n ==> aⁿ = b: 

10³ = 8x³ [Since the base is not given, I assume that the base is 10] 
1000 = 8x³ 

Finally, solve for x. 

1000/8 = x³ 
x³ = 125 
x = (125)^(1/3) . . .Set both sides to the power of 1/3. 
x = 5 

Hence, x = 5.

You might be interested in

Which expression is equivalent to square root 55x^7 y^6/11x^11 y^8? Assume x > 0 and y > 0.

morpeh [17]

The first step for solving this expression is to reduce the fraction with 11.
$\sqrt{ \frac{5 x^{7} y^{6} }{ x^{11} y^{8} } }$
Now reduce the fraction with $x^{7}$ .
$\sqrt{ \frac{5 y^{6} }{ x^{4} y^{8} } }$
Reduce the fraction one more time with $y^{6}$ .
$\sqrt{ \frac{5}{ x^{4} y^{2} } }$
To take the root of a fraction,, we must take the root of the numerator and denominator separately. This rule will change the expression to the following:
$\frac{ \sqrt{5} }{ x^{2} y}$
Since we cannot simplify this fraction any further,, the final answer is going to be $\frac{ \sqrt{5} }{ x^{2} y}$ .
Let me know if you have any further questions.
:)

3 0

3 years ago

Read 2 more answers

4 less than a number n is -15

kiruha [24]

Answer:

n=-11

Step-by-step explanation:

Since -15 is 4 less than -11, it would be -11.

Hope this helped. :)

3 0

3 years ago

If you weighed 92 pounds on Earth, you would weigh 97.8 pounds on Saturn. write the weight on Saturn as a mixed number in simple

SIZIF [17.4K]

Answer:

97 8/10

Explanation:

If you weighed 97.8 pounds on saturn as a decimal, you would take the whole number 97. Now you're left with the ".8" = ".80" this decimal would be 8/10. Now you put them together to create 97 and 8/10.

3 0

3 years ago

Pls answer professionally or with the right answer I’m beg you

Crazy boy [7]

1) y=106 x=106 2) z=68 y=112 x=112

3 0

3 years ago

Read 2 more answers

A circle has its center at (-1, 2) and a radius of 3 units. What is the equation of the circle?

Aleks [24]

Hello,

Answer D

(x+1)²+(y-2)²=9

8 0

3 years ago

Read 2 more answers