HA2 6.4-6.6 practice 2

Given that [math]\ln5=1.6[/math] and [math]\ln{11}=2.4[/math], find the value of [math]\ln{(0.04)}[/math].

Given that [math]\log_32=p[/math] and [math]\log_35=q[/math], express in terms of [math]p[/math] and [math]q[/math] the expression [math]\log2[/math]

If [math]\log_tM=1.29[/math] and [math]\log_tN^2=1.72[/math], find [math]\log_t\dfrac{N}{\sqrt{M}}[/math]

What is the perimeter of a triangle with sides of length [math]\log_{30}{8}, \log_{30}{27},[/math] and [math]\log_{30}{125}[/math]?

Which of the following is equivalent to [math]\log_4625\cdot\log_5\dfrac{1}{7}\cdot\log_{343}8[/math]?

What is [math]\log{(0.2)}-\log{(2)}+\log{(20)}[/math]?

What is [math]\log_{a^3}{\sqrt{a}}[/math]?

Given that [math]f(x)=\log_5{x}[/math] and [math]g(x)=\log_3{x}[/math], find [math]f(g(g(3^{243})))[/math]

If [math]f(x)=3^{x+2}-1[/math] then [math]f^{-1}[/math] has which of the following asymptotes?

Find the domain of the function [math]f(x)=3\log{5x-2}[/math]

Let [math]f(x)=\ln{6-x}[/math] and [math]g(x)=|x^2-10x+15|[/math]. The domain of [math](f\circ g)(x)[/math] can be written in interval notation as [math](a,b)\cup(c,d)[/math] for values [math]a,b,c,d[/math]. Find [math]a+b+c+d[/math]

Solve for [math]x[/math] in the following equation: [math]\log_9{(\log_2{(\log_3{(\log_xe)})})}=0[/math]