Question 1 Report
Given that \(27^{(1+x)}=9,)\ find x
Answer Details
Taking the natural logarithm of both sides, we have: \begin{align*} \ln(27^{1+x}) &= \ln 9 \\ (1+x)\ln 27 &= \ln 9 \\ (1+x)\ln(3^3) &= \ln(3^2) \\ (1+x)(3\ln 3) &= 2\ln 3 \\ 1+x &= \frac{2\ln 3}{3\ln 3} \\ 1+x &= \frac{2}{3} \\ x &= \frac{2}{3} - 1 \\ x &= -\frac{1}{3} \end{align*} Therefore, the answer is (b) \(\frac{-1}{3}\).
Simplify \(\left(\frac{16}{81}\right)^{-\frac{3}{4}}\times \sqrt{\frac{100}{81}}\)
Express \(\frac{7}{19}\) as a percentage, correct to one decimal place
If \(104_x = 68\), find the value of x
Which of the following numbers is perfect cube?
What fraction must be subtracted from the sum of \(2\frac{1}{6}\) and \(2\frac{7}{12}\) to give \(3\frac{1}{4}\)?
Find the missing number in the addition of the following numbers, in base seven \(\begin{matrix} 4 & 3 & 2 & 1\\ 1 & 2 & 3 & 4\\ * & * & * & *\\ 1&2&3&4&1 \e...
simplify \(\frac{10}{\sqrt{32}}\)
Express 398753 correct to three significant figures
Everything you need to excel in JAMB, WAEC & NECO
