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.