Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary.

log 8x^3=4
can someone list how to do this step by step?i'm having difficulties solving this problem

don't worry I do that same mistake EVERY TIME :)

log (common logarithm) means power of ten

8 x^3 = 10^4

(2 x)^3 = 10^4 ... 2 x = ∛10000

so 2x = 10∛10

x = 5∛10

i still don't get how u got 10.77 steve,i'm very confused,could u tell me how u got that because when i put that last part in the calculator it gives me a whole complete different answer

I'm getting the same answer (10.77) did you check that you put your sqrt to 3(as in ∛ not √) they are different BTW

thanks,i will check

i was doing it wrong the whole time,lol,thanks so much!

i'm glad i could help!

everyone saw the rounding requirement...right?

10.7722

To solve the logarithmic equation log 8x^3 = 4, you can follow these steps:

Step 1: Start by using the logarithmic property, which states that log base a of b = c is equivalent to a raised to the power of c equals b. In this case, it will be 8x^3 = 10^4.

Step 2: Simplify the equation by getting rid of the base of the logarithm. In this equation, 10^4 equals 10,000. Rewrite the equation as 8x^3 = 10,000.

Step 3: Now, divide both sides of the equation by 8 to isolate x^3. You will have x^3 = 10,000 / 8.

Step 4: Simplify further by dividing 10,000 by 8, which gives you 1,250. Thus, x^3 = 1,250.

Step 5: To solve for x, take the cube root of both sides of the equation, which will give you x = ∛1,250.

Step 6: Use a calculator or an approximation method to find the cube root of 1,250. Rounding to the nearest ten-thousandth, x is approximately 10.000.