Arun Sharma Solutions for Exercise 1: Level of Difficulty

Solve the given equation for the value of $\mathrm{x}$.

$\log \left({\mathrm{x}}^2-6\mathrm{x}+6\right)=0$

Solve the given equations for the value of $\mathrm{x}$.

$\log 2^{\mathrm{x}}=3$

Solve the given equations for the value of $\mathrm{x}$.

$3^{\mathrm{x}}=7$

Solve the given equations for the value of $\mathrm{x}$.

$5^{\mathrm{x}}=10$

Solve the given equation for the value of $\mathrm{x}$.

$0.{01}^{\mathrm{x}}=2$

Find $\mathrm{x}$ if $\log \mathrm{x}= 2 \log 5+ 3 \log 2$.

Find $\mathrm{x}$ if $\log (\mathrm{x}-13) +3 \log 2= \log (3\mathrm{x}+1)$.

$\log \left(2\mathrm{x}-2\right)-\log \left(11.66-\mathrm{x}\right)=1+\log 3$. Solve for $\mathrm{x}$.