The properties of logarithms in this section can be used to rewrite log2⁡𝑥5 as follows:𝐴⁢log2⁡𝐵Find the values for 𝐴 and 𝐵:

Use the rules of logarithms to write the following expression in terms of ln(𝑥) and ln(𝑦).ln(𝑥3𝑦)=

Express ln(√𝑥𝑦 ) in terms of ln 𝑥 and ln 𝑦:

In the general form of a logarithmic function 𝑓(𝑥)=log𝑏⁡(𝑥), what does 𝑏 represent?

The logarithmic function f(x)=logbx𝑓(𝑥)=log𝑏⁡𝑥 can also be written in exponential form as:Question 6Select one:a.y=bx𝑦=𝑏𝑥b.x=by𝑥=𝑏𝑦c.b=yx𝑏=𝑦𝑥d.b=xy

The functions 𝑗 and 𝑘 are given by          𝑗⁡(𝑥)=log10⁡(𝑥+1)-5⁢log10⁡(2-𝑥)+log10⁡3          𝑘⁡(𝑥)=sec⁡𝑥-cos⁡𝑥.(i) Rewrite 𝑗⁡(𝑥) as a single logarithm base 10 without negative exponents in any part of the expression. Your result should be of the form log10⁡(expression).(ii) Rewrite 𝑘⁡(𝑥) as a product involving tan⁡𝑥 and sin⁡𝑥 and no other trigonometric functions.