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IRISSAK [1]
3 years ago
10

Solve 9x + 4 = 11 for x using the change of base formula log base b of y equals log y over log b.

Mathematics
2 answers:
Sedbober [7]3 years ago
4 0

Answer:

x =  \frac{7}{9}

Step-by-step explanation:

9x + 4 = 11 \\  \\ 1. \: 9x = 11 - 4 \\ 2. \: 9x = 7 \\ x =  \frac{7}{9}

PIT_PIT [208]3 years ago
3 0

Answer with explanation:

The given equation in one variable is:

→  9 x +4 =11

Subtracting 4 from both sides

→9 x +4 -4=11 -4

→ 9 x=7

Taking log on both sides

→log ( 9 x)= log 7-----log having base 10 is considered.

→ log 9  + log x= log 7

→ 0.95424 + log x= 0.8450

→ log x=0.8450 - 0.9542

→ log x= -0.1092

\rightarrow\frac{\log x}{\log 10}=-0.1092\\\\\rightarrow \log x=-0.1092 \times \log 10\\\\\rightarrow \log x=\log 10^{-0.1092}\\\\\rightarrow x=10^{-0.1092}\\\\\rightarrow x=0.77767\\\\x=0.778

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