# algebra

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

log 8x^3=4
can someone walk me through this step by step?

1. 👍 0
2. 👎 0
3. 👁 459
1. log 8x^3=4
assuming base 10, that means
8x^3 = 10^4 = 10000
x^3 = 10000/8 = 10 * (10/2)^3
x = 5∛10 ≈ 10.77217

1. 👍 1
2. 👎 0
2. thank you so much!

1. 👍 0
2. 👎 0
3. could u explain to me how u got the last part though?i don't think i am putting it in my calc right because every time i do it ends up being 395.284707521047

1. 👍 0
2. 👎 0

log₈( x³ ) = 4

then:

3 ∙ log₈ ( x ) = 4

log₈ ( x ) = 4 / 3

x = 8 ^ ( 4 / 3 )

x = ∛ 8⁴

x = ∛ 4096

x = 16

1. 👍 0
2. 👎 0
5. that's not what it means,but thanks for helping!

1. 👍 0
2. 👎 0

## Similar Questions

387,422 round to the nearest thousand 124,607 round to the nearest ten thousand 111,022 round to the nearest hundred 276,431 round to the nearest ten thousand

2. ### Math: Rounding off

-Round off .6752 to the nearest tenth, hundredth, and thousandth.- How do you round this off when there's a decimal?

3. ### Math

Solve the equation. Round to the nearest tenth if necessary. 1#: 7r - 7 = 2r +18 1. r= -5 2. r= 5 3. r= 2.2 4. r= 1.2 _____________________________________________________ Solve the equation. Round to the nearest tenth if

1) use the properties of logarithms to simplify the logarithmic expression. log base 10 (9/300) log - log 300 log 9 = 2 log 3 log 300 = log 3 + log 100 = log 3+2 I just do not know how to put these together now!

1. ### math help

Round to nearest ten thousandth: 4.803621

2. ### college algebra

solve the following logarithmic equation. 1. 2log(lower2) (x-2) + log(lower2)^2=3 I do not know how to make the 2 by the g on my computer. 2. log(lower729^x) + log(lower27^x) + log(lower3^x) =9 again I do not know how to make the

3. ### Algebra II

Solve In(5x+7) = 8. Round to the nearest thousandth. Can someone walk me through this?

4. ### Algebra II

Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary. log 8x^3=4 Can someone walk me through this?

1. ### College Algebra

"Solve each equation. Round your answers to the nearest ten-thousandth." (These are my directions) Here is the equation: 3^n + 9 = 69 How do I solve this getting the answer asked for?

2. ### Math

A seed company claims that 90% of its bean seeds will germinate. If seven of these seeds are planted in warm, moist, soil, what is the probability that exactly 6 of them will germinate? Round answer to nearest ten-thousandth (4

3. ### algebra 2

what is the value of log10 6.85 to the nearest ten thousandth

4. ### precalc

Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log2(x + 17) − log2(x − 2) = 1 2 is the base for the log.