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kozerog [31]
3 years ago
7

Solve log (4x+5)=2. Round to the nearest thousandth if necessary.

Mathematics
2 answers:
Eva8 [605]3 years ago
7 0
10%5E2+=+4x+%2B+5
100+=+4x+%2B+5
4x+=+95
x+=+23.75
i really need a branliest plz...
Andre45 [30]3 years ago
5 0

Answer:

The solution is x=\frac{95}{4}=23.75.

Step-by-step explanation:

To solve the equation \log _{10}\left(4x+5\right)=2.

Use the logarithmic definition: \mathrm{If}\:\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c

\log _{10}\left(4x+5\right)=2\quad \Rightarrow \quad \:4x+5=10^2

Simplify

4x+5=100

Next, solve for x

4x+5-5=100-5\\4x=95\\\frac{4x}{4}=\frac{95}{4}\\x=\frac{95}{4}

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