Isolate A for H=K+log(a/c)
using log rules ... H = K + log(a) - log(c)
log(a) = H - K + log(c)
a = 10^(H - K) * c
To isolate variable A in the equation H = K + log(a/c), follow these steps:
Step 1: Start with the equation H = K + log(a/c).
Step 2: Subtract K from both sides of the equation to isolate the logarithmic term:
H - K = log(a/c).
Step 3: Use logarithmic rules to convert the equation from logarithmic form to exponential form:
10^(H - K) = a/c.
Step 4: Multiply both sides of the equation by c to eliminate the fraction:
c * 10^(H - K) = a.
Therefore, the isolated value of A is a = c * 10^(H - K).