Question

3. Solve for x : log10 x = -2.​

Answer 1

Answer:

10^-2

hope this is helpful

Answer 2

$\; \star \; {\underline{\boxed{\pmb{\orange{\frak{ \; Given \; :- }}}}}}$

➺ $\sf\log10 x =- 2$

$\begin{gathered} \\ \\ \end{gathered}$

$\; \star \; {\underline{\boxed{\pmb{\red{\frak{ \; To \; Find \; :- }}}}}}$

➺ Value of x = ?

$\begin{gathered} \\ \\ \qquad{\rule{200pt}{2pt}} \end{gathered}$

$\; \star \; {\underline{\boxed{\pmb{\purple{\frak{ \; SolutioN \; :- }}}}}}$

$\begin{gathered} \\ \\ \end{gathered}$

$❒ {\underline{\underline{\sf{ \; Calculating \; the \; Value of x\; :- }}}}$

$\begin{gathered} \; \longmapsto \; \sf {\sf\log10 x =- 2 } \\ \\ \end{gathered}$

$\begin{gathered} \; \longmapsto \; \sf {\sf10 {}^{ - 2} = x } \\ \\ \end{gathered}$

$\begin{gathered} \; \longmapsto \; \sf {\sf \: \dfrac{1}{10 {}^{2} } = x } \\ \\ \end{gathered}$

$\begin{gathered} \; \longmapsto \; \sf {\sf \: \dfrac{1}{10 0 } = x } \\ \\ \end{gathered}$

$\begin{gathered} \; \longmapsto \; {\underline{\boxed{\orange{\sf { x=0.01 }}}}} \; \bigstar \\ \\ \end{gathered}$

$\begin{gathered} \\ \\ \end{gathered}$

$\qquad \; \therefore$ The Value of x is -5,11.

$\begin{gathered} \\ {\underline{\rule{300pt}{3.76pt}}} \end{gathered}$

$❒ {\underline{\underline{\sf{ \; Concept\; Used \; :- }}}}$

${\; \longrightarrow \; {\underline{\boxed{\sf{if \: \log a(c) = b \: then \: {a}^{b} =c}}}} \; \red\bigstar }$

${\; \longrightarrow \; {\underline{\boxed{\sf{m {}^{ -n} = \dfrac{1}{m {}^{n} } }}}} \; \red\bigstar }$

$\begin{gathered} \\ \end{gathered}$

$\begin{gathered} \\ {\underline{\rule{300pt}{9pt}}} \end{gathered}$