Solve

log3 x + log3 8 = 4

x=10.125

To solve the equation log3 x + log3 8 = 4, we can use the properties of logarithms.

First, let's simplify the equation using the log property log(a) + log(b) = log(a * b):

log3 x + log3 8 = log3 (x * 8) = 4

Next, we can rewrite the equation using the exponent form of logarithms. In general, loga b = c can be rewritten as a^c = b.

So, we have:

3^4 = x * 8

Now, we can simplify the left side of the equation:

81 = 8x

To solve for x, divide both sides of the equation by 8:

81 / 8 = x

Now, calculate the value of x:

x = 10.125

Therefore, the solution to the equation log3 x + log3 8 = 4 is x = 10.125.