Question

Solve and round to the nearest hundredth please!!!

Answer 1

Answer:

x = 0.96

Step-by-step explanation:

$7 \times 16^{8x - 8} = 3$

$(2^4)^8(x - 1) = \dfrac{3}{7}$

$2^{32(x - 1)} = \dfrac{3}{7}$

$\log 2^{32(x - 1)} = \log \dfrac{3}{7}$

$32(x - 1)\log 2 = \log 3 - \log 7$

$(x - 1) = \dfrac{\log 3 - \log 7}{32}$

$(x - 1) = \dfrac{\log 3 - \log 7}{32\log 2}$

$x = \dfrac{\log 3 - \log 7}{32\log 2} + 1$

$x = 0.961800237...$

Answer: x = 0.96