We can use the properties of logarithms to simplify this equation.
log5x = log5 1.5 + 1/3 log5 8
Using the property log a + log b = log ab, we can combine the logs on the right side:
log5x = log5 (1.5 * 8^(1/3))
Then we simplify the expression inside the logarithm:
log5x = log5 (1.5 * 2)
log5x = log5 3
Therefore, x = 3.
We can use the properties of logarithms to simplify this equation.
log5x = log5 1.5 + 1/3 log5 8
Using the property log a + log b = log ab, we can combine the logs on the right side:
log5x = log5 (1.5 * 8^(1/3))
Then we simplify the expression inside the logarithm:
log5x = log5 (1.5 * 2)
log5x = log5 3
Therefore, x = 3.