Verified answer

Step-by-step explanation:

[tex] log_{a}(ab) = x \\ log_{a}(a) + log_{a}(b) = x \\ 1 + log_{a}(b) = x \\ log_{a}(b) = x - 1 \\ log_{b}(a) = 1 \div (x - 1) \\ log_{b}(a) + log_{b}(b) = 1 \div (x - 1) + log_{b}(b) \\ log_{b}(ab) = 1 \div (x - 1) + 1 \\ log_{b}(ab) = x \div (x - 1) [/tex]

• log(a)(ab)=log(a)(ab)
• log(x)(x)=1
• log(a)(b)=1÷log(b)(a)
• it are used formula

log()()- index

| - base