Log rules Quiz 1

Question 1

Find the value of $$x$$in the equation $${{\left( \dfrac{1}{5} \right)}^{4x-1}}=1$$ where $$log5=0.6989$$.

Accepted Answer

$$\dfrac{1}{4}$$

Answer

$$\dfrac{1}{2}$$

Answer

$$\dfrac{3}{4}$$

Answer

$$4$$

Question 2

Find the value of $$X$$ in the equation $$3log{{\left( X \right)}^{\frac{1}{3}}}=log\left( 8X-14 \right)$$.

Accepted Answer

2

Answer

3

Answer

$$\dfrac{1}{2}$$

Answer

4

Question 3

If $$log\left[ 5+{log_{2}}\left( 2x+1 \right) \right]=1$$, then find the value of $$x$$.

Accepted Answer

15.5

Answer

$${{2}^{5}}~-1$$

Answer

24

Answer

$${{5}^{4}}~-1$$

Question 4

Find the value of $${{a}^{2}}+10a+100$$, If $${log_{10}}-a{log_{10}}\sqrt[3]{a}=6{log_{x}}10$$.

Accepted Answer

1010100

Answer

1101010

Answer

1011010

Answer

10001010

Question 5

If $${log_{8}}\left( a-2 ight)+2	ext{ l}o{{g}_{64}}{{\left( a+6 ight)}^{2}}=2	ext{l}o{{g}_{8}}\left( 3a-7 ight)$$ and $$a < 0$$; Find the value of expression: $${{a}^{2}}+2.075a+10.507$$.

Accepted Answer

10.507

Answer

2.075

Answer

3.065

Answer

-2.075