\[\text{Q1. Solving Exponential Equations With a More Complicated Exponents}\\[10pt]\text{If}\quad2^{3x-2}=5, \quad\text{find x}\\[30pt]\text{Q2. Simplify}\qquad\frac{\log_{}{729}}{\log_{}{9}}\\[30pt]\text{Q3.If}\quad\log_{10}{(5x+2)}-\log_{10}{(x-1)}=0.7782,\quad\text{find the value of x}\\[30pt]\text{Q4. Given that}\quad\log_{10}{7}=0.8451\quad\text{and}\quad\log_{10}{3}=0.4771,\\[5pt]\text{find without using calculator,}\quad\log_{10}\left({\frac{9}{7}}\right)\\[30pt]\text{Q5. Find the truth set of}\\[5pt]\log_{}{(x+3)}+\log_{}{x}=1\\[30pt]\text{Q6. Simplify}\quad-\log_{10}\left({\frac{1}{1000}}\right)\\[30pt]\text{Q7. Solve for x if}\quad3^{x}=2^{x+1}\\[25pt]\text{Only 5% of people get this right! Can you solve it? Answer in the comments. Solution will be posted tomorrow!}\]
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