Solve the Logarithmic Equation $$\log _ { 7 } ( 3 x - 5 ) = 2$$

question 239

Multiple Choice

Solve the logarithmic equation. Give an exact solution.
- $$\log _ { 7 } ( 3 x - 5 ) = 2$$

• A) \(\{ 18 \}\)
• B) \(\left\{ \frac { 19 } { 3 } \right\}\)
• C) \(\left\{ \frac { 44 } { 3 } \right\}\)
• D) \(\{ 15 \}\)

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Definitions:

Distal Tubule

The distal tubule is a segment of the kidney nephron that plays a crucial role in the reabsorption of water and ions, significantly contributing to the regulation of blood pressure, pH, and electrolyte balance.

Juxtaglomerular Apparatus

A structure in the kidney that regulates blood pressure and the filtration rate of the glomerulus by releasing renin.

Macula Densa Cells

Specialized cells in the kidneys that sense sodium concentration and regulate the rate of glomerular filtration.

Interstitial Osmolarity

The concentration of solutes in the interstitial fluid, affecting the movement of water between cells and the extracellular fluid.