Question

What is another way to write 3log₈x = 4?

a) log₈x = 1/3
b) log₈x = 4/3
c) log₈x = 3/4
d) log₈x = 3

Answer 1

`\Large \textsf{Read below}`

Explanation:

`\Large \text{$ \sf 3\:log_8\:x = 4$}`

`\Large \boxed{\boxed{\text{$ \sf \:log_8\:x = (4)/(3)$}}}`

Answer 2

The equation 3log₈x = 4 can be rewritten as log₈x = 4/3 by dividing both sides of the equation by 3, corresponding to option b).

To solve for an equivalent way to write 3log₈x = 4, we can use the properties of logarithms. One such property is that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. By dividing both sides of the equation by 3, we can isolate log₈x on one side, which gives us:

log₈x = 4 / 3

This shows that the equivalent way to write the given logarithmic equation is log₈x = 4/3, which corresponds to option b).

So, the alternative way to write the equation 3log₈x = 4 is log₈x = 4/3.