Question

Can someone please help! I will fan+medal! 2=log(3x+4)
1.Convert the logarithmic equation to an exponential equation.
2. Simplify and solve the equation to get the solution

Answer 1

there's no explicit log base.. meaning... is "10", so you know \(\bf y=log_{\color{red}{ a}}({\color{blue}{ b}})\implies {\color{red}{ a}}^y={\color{blue}{ b}}\qquad thus
\\ \quad \\
2=log(3x+4)\implies 2=log_{\color{red}{ 10}}({\color{blue}{ 3x+4}})\implies ?\)

Answer 2

\[10^{2}=3x+4\]

Answer 3

so x=32?

Answer 4

yes !

Answer 5

awesome, can you help me out with another problem?

Answer 6

sure !

Answer 7

I will write the equation in a sec.
1. Combine the exponential expressions to produce a single exponential expression.
2.Convert the equation from Part 1 to a logarithmic equation
3. Solve the equation