Question

Solve for x : log (x+8) - log (x-8) = 1

Answer 1

Answer:

In these type of q try to bring same operation( here log)&equate for variable using known mathematical operations.

log same base diff values

• in add = log same base product( diff values)
• minus: log same base- divisipn of diff values
• Using, log(x+8/x-8)= log 10(taking base 10 but can be any value in{ R+-1} ) Think process to bring log in RHS i.e., log base base(definition of log)
• x+8=10(x-8)
• 9x=88
• x=88/9
• Here value of x depends on value of base