Divide £32 in a ratio of 3:7

x = 32/5

Step-by-step explanation:

Given the logarithmic equation,

log2x + log2(x – 6) = 4, to get the equation that can solve the potential solutions to the equation we need to solve the equation by removing all traces of log as shown;

According to the law of logarithm, log a + log b = log(a/b). Applying this to the equation given

log2x + log2(x – 6) = 4,

log2(x/x-6) = 4

Also If log_a b = c, then a^c = b

x/x-6 = 2⁴

x/x-6 = 16

Cross multiplying

x = 16(x-6)

x = 16x-96

x-16x = -96

-15x = -96

x = 96/15

x = 32/5

The solution to the equation is x = 32/5