Solving problems involving the laws of logarithms (SP4.13)

Solve  $4^{2x-1}=7^x$   by giving answers in three decimal places.

Solve  $5^{2x-1}=79^{x-1}$   by giving answers in three decimal places.

Solve  $7^{3x-1}=50^x$   by giving answers in three decimal places.

Solve  $\ln\left(5x+2\right)=15$  by using natural logarithms. Give the answer in three decimal places.

Solve  $\ln\left(3x-2\right)=4$  by using natural logarithms. Give the answer in three decimal places.

Solve  $30e^{2x+2}=145$  by using natural logarithms. Give the answer in three decimal places.

Solve  $5e^{3x-4}=35$  by using natural logarithms. Give the answer in three decimal places.

Solve  $41-e^{2x}=5$  by using natural logarithms. Give the answer in three decimal places.

Solve  $\ln\left(x+1\right)^2=4$  by using natural logarithms. Give the answer in three decimal places.

• 6.3891

• -8.389

• -6.3891

• 8.389

The price of a house after n years is given by RM  $260\ 000\left(\frac{9}{8}\right)^n$ . Determine the minimum number of years for the price of the house to exceed RM300 000 for the first time.

• 2

• 10

• 20

• 5