If \(6^x - 6^{x-1} = 180\), then the value of \(\dfrac{2x-1}{2x+3}\) is:
\(\dfrac{5}{9}\)
\(6^x-6^{x-1} = 6^{x-1}(6-1) = 5\times6^{x-1} = 180 \Rightarrow 6^{x-1}=36=6^2\).
So \(x-1=2 \Rightarrow x=3\).
\(\dfrac{2x-1}{2x+3} = \dfrac{5}{9}\).
Hence, the value of the expression is \(\tfrac59\).
If $\sqrt{2916} = 54$ then what is the value of the following?
$\sqrt{29.16} + \sqrt{0.2916} + \sqrt{0.002916} + \sqrt{0.00002916}$
If $\frac{2\sqrt{2}+\sqrt{7}}{2\sqrt{2}-\sqrt{7}} = x + y\sqrt{14}$, find the value of y.
The cube root of - 64 × - 1331 is:
If (27) m = (81) n, then m 2: mn = ?
if 49 n + 49 n + 49 n + 49 n + 49 n + 49 n + 49 n = 7 2221 , then n = ?
If a x= b y= c zand b 2= ac then y =
The value of (0.3) [{(200 - 146)/(3 × 3 × 3)} - 3] is: