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(27)/(3)=(5x)/(3)
Watch on

9=
Youtulube
(a) If
log_(5)x=9, then
x=
◻
(b) If
log_(7)x=4, then
x=
◻
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$\frac{27}{3}=\frac{5 x}{3}$ $\newline$ Watch on $\newline$ $9=$ $\newline$ Youtulube $\newline$ (a) If $\log _{5} x=9$ , then $x=$ $\square$ $\newline$ (b) If $\log _{7} x=4$ , then $x=$ $\square$ $\newline$ Submit Question

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Quotient property of logarithms

Full solution

Q.

\frac{27}{3}=\frac{5 x}{3}

\newline

Watch on

\newline

9=

\newline

Youtulube

\newline

(a) If

\log _{5} x=9

, then

x=

\square

\newline

(b) If

\log _{7} x=4

, then

x=

\square

\newline

Submit Question

Divide by $3$ : $(27)/(3)=(5x)/(3)$ $\newline$ Simplify both sides by dividing by $3$ .
Multiply to isolate $5x$ : $\frac{27}{3} = \frac{5x}{3}$ $9 = \frac{5x}{3}$ Multiply both sides by $3$ to isolate $5x$ .
Divide to solve for $x$ : $9 \times 3 = 5x$ $\newline$ $27 = 5x$ $\newline$ Divide both sides by $5$ to solve for $x$ .
Calculate $5^9$ : $\frac{27}{5} = x$ $\newline$ $x = 5.4$
Calculate $7^4$ : (a) If $\log_{5}x=9$ , then $x=5^9$ $\newline$ Calculate $5$ raised to the power of $9$ .
Calculate $7^4$ : (a) If $\log_{5}x=9$ , then $x=5^9$ $\newline$ Calculate $5$ raised to the power of $9$ . $x = 5^9$ $\newline$ $x = 1953125$
Calculate $7^4$ : (a) If $\log_{5}x=9$ , then $x=5^9$ $\newline$ Calculate $5$ raised to the power of $9$ . $x = 5^9$ $\newline$ $x = 1953125$ (b) If $\log_{7}x=4$ , then $x=7^4$ $\newline$ Calculate $7$ raised to the power of $\log_{5}x=9$ $0$ .
Calculate $7^4$ : (a) If $\log_{5}x=9$ , then $x=5^9$ $\newline$ Calculate $5$ raised to the power of $9$ . $x = 5^9$ $\newline$ $x = 1953125$ (b) If $\log_{7}x=4$ , then $x=7^4$ $\newline$ Calculate $7$ raised to the power of $\log_{5}x=9$ $0$ . $\log_{5}x=9$ $1$ $\newline$ $\log_{5}x=9$ $2$

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