tmua None Q5

tmua · Uk · specimen_paper1 Laws of Logarithms Solve a Logarithmic Equation
5. Given that $y = - \log _ { 10 } ( 1 - x )$ for $x < 1$, find $x$ in terms of $y$.
A $\quad x = - \frac { 1 } { \log _ { 10 } ( 1 - y ) }$
B $x = 1 + \log _ { 10 } y$
C $x = 1 - \log _ { 10 } y$
D $\quad x = 1 - 10 ^ { - y }$
E $\quad x = 10 ^ { - y } - 1$
F $\quad x = 10 ^ { 1 - y }$
5. Given that $y = - \log _ { 10 } ( 1 - x )$ for $x < 1$, find $x$ in terms of $y$.

A $\quad x = - \frac { 1 } { \log _ { 10 } ( 1 - y ) }$

B $x = 1 + \log _ { 10 } y$

C $x = 1 - \log _ { 10 } y$

D $\quad x = 1 - 10 ^ { - y }$

E $\quad x = 10 ^ { - y } - 1$

F $\quad x = 10 ^ { 1 - y }$\\