Answer:
x = 0.96
Step-by-step explanation:
[tex] 7 \times 16^{8x - 8} = 3 [/tex]
[tex] (2^4)^8(x - 1) = \dfrac{3}{7} [/tex]
[tex] 2^{32(x - 1)} = \dfrac{3}{7} [/tex]
[tex] \log 2^{32(x - 1)} = \log \dfrac{3}{7} [/tex]
[tex] 32(x - 1)\log 2 = \log 3 - \log 7 [/tex]
[tex] (x - 1) = \dfrac{\log 3 - \log 7}{32} [/tex]
[tex] (x - 1) = \dfrac{\log 3 - \log 7}{32\log 2} [/tex]
[tex] x = \dfrac{\log 3 - \log 7}{32\log 2} + 1 [/tex]
[tex] x = 0.961800237... [/tex]
Answer: x = 0.96
